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Pogrebkov, Andrei Konstantinovich

Total publications: 114 (106)
in MathSciNet: 90 (86)
in zbMATH: 66 (64)
in Web of Science: 66 (62)
in Scopus: 70 (69)
Cited articles: 77
Citations: 854
Presentations: 31

Number of views:
This page:5974
Abstract pages:25680
Full texts:8490
References:2516
Pogrebkov, Andrei Konstantinovich
Head Scientist Researcher
Doctor of physico-mathematical sciences (1984)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 18.09.1946
E-mail:
Keywords: solitons, Inverse Scattering Transform, fermionization.
UDC: 530.1, 501, 530.145.1

Subject:

Classical and quantum integrable systems.

   
Main publications:
  • M. Boiti, F. Pempinelli, A. Pogrebkov, "Dressing of a two-dimensional non trivial potential", Physica D, vol. 87, 123 (1995).

https://www.mathnet.ru/eng/person13595
List of publications on Google Scholar
https://zbmath.org/authors/ai:pogrebkov.a-k
https://mathscinet.ams.org/mathscinet/MRAuthorID/189958
https://elibrary.ru/author_items.asp?authorid=2651
https://www.webofscience.com/wos/author/record/F-4748-2010
https://www.scopus.com/authid/detail.url?authorId=6603054736
https://www.researchgate.net/profile/A_Pogrebkov

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2024
1. A. K. Pogrebkov, “Quantum aspect of the classical dynamics”, Part. Differ. Equ. in Appl. Math., 11 (2024), 100907 , 4 pp., arXiv: 2407.16018  mathnet  crossref;
2. A. K. Pogrebkov, TMF (to appear)  mathnet

   2023
3. A. K. Pogrebkov, “Nonexplicit versions of integrable equations”, Theoret. and Math. Phys., 217:3 (2023), 1907–1913  mathnet  crossref  crossref  mathscinet  adsnasa  scopus

   2021
4. Andrei K. Pogrebkov, “Kadomtsev–Petviashvili hierarchy: negative times”, Mathematics, 9:16 (2021), 1988 , 10 pp.  mathnet  crossref  isi  scopus; (Published online) 2
5. Andrei K. Pogrebkov, “Negative Times of the Davey–Stewartson Integrable Hierarchy”, SIGMA, 17 (2021), 91 , 12 pp., arXiv: 2106.03835  mathnet  crossref  mathscinet  isi  scopus; , arXiv: 2106.03835 1
6. V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Russian Math. Surveys, 76:4 (2021), 733–743  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

   2020
7. A. K. Pogrebkov, “Induced Dynamics”, J. Nonlinear Math. Phys., 27:2 (2020), 324–336  mathnet  crossref  mathscinet  zmath  isi  scopus;  zmath 2
8. A. K. Pogrebkov, “Commutator identities and integrable hierarchies”, Theoret. and Math. Phys., 205:3 (2020), 1585–1592  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
9. A. K. Pogrebkov, “Multiplicative dynamical systems in terms of the induced dynamics”, Theoret. and Math. Phys., 204:3 (2020), 1201–1208  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
10. Sovremennye problemy matematicheskoi i teoreticheskoi fiziki, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Andreya Alekseevicha Slavnova, Trudy MIAN, 309, ed. A. K. Pogrebkov, N. A. Slavnov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, MIAN, M., 2020 , 346 pp.  mathnet
11. V. E. Adler, S. N. Askhabov, R. Ch. Kulaev, A. G. Kusraev, S. S. Kutateladze, A. K. Pogrebkov, Yu. G. Reshetnyak, “In Memory of Alexei Borisovich Shabat (08.08.1937–24.03.2020)”, Vladikavkaz. Mat. Zh., 22:2 (2020), 100–102  mathnet  mathscinet

   2019
12. Andrei Pogrebkov, “Hirota Difference Equation and Darboux System: Mutual Symmetry”, Symmetry, 11:3 (2019), 436 , 11 pp.  mathnet  crossref  mathscinet  zmath  isi  scopus 2

   2018
13. R. Ch. Kulaev, A. K. Pogrebkov, A. B. Shabat, “Darboux system: Liouville reduction and an explicit solution”, Proc. Steklov Inst. Math., 302 (2018), 250–269  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
14. A. K. Pogrebkov, “Higher Hirota difference equations and their reductions”, Theoret. and Math. Phys., 197:3 (2018), 1779–1796  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
15. R. Ch. Kulaev, A. K. Pogrebkov, A. B. Shabat, “Darboux system as three-dimensional analog of Liouville equation”, Russian Mathematics, 62:12 (2018), 50–58  mathnet  crossref  mathscinet  zmath  isi  scopus

   2017
16. Andrei K. Pogrebkov, “Symmetries of the Hirota Difference Equation”, SIGMA, 13 (2017), 53 , 14 pp., arXiv: 1704.00043  mathnet  crossref  mathscinet  isi  scopus 5
17. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “KPII: Cauchy–Jost function, Darboux transformations and totally nonnegative matrices”, J. Phys. A, 50 (2017), 304001 , 22 pp., arXiv: 1611.04198  mathnet  crossref  mathscinet  isi  scopus 3

   2016
18. A. K. Pogrebkov, “Commutator identities on associative algebras, the non-Abelian Hirota difference equation and its reductions”, Theoret. and Math. Phys., 187:3 (2016), 823–834  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus

   2015
19. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Cauchy–Jost function and hierarchy of integrable equations”, Theoret. and Math. Phys., 185:2 (2015), 1599–1613  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2014
20. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “IST of KPII equation for perturbed multisoliton solutions”, Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, eds. V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever, Amer. Math. Soc., Providence, RI, 2014, 49–73  mathscinet  zmath
21. A. K. Pogrebkov, “Hirota difference equation: Inverse scattering transform, Darboux transformation, and solitons”, Theoret. and Math. Phys., 181:3 (2014), 1585–1598  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2012
22. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Extended resolvent of the heat operator with a multisoliton potential”, Theoret. and Math. Phys., 172:2 (2012), 1037–1051  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
23. M. Beccaria, B. G. Konopelchenko, G. Landolfi, L. Martina, A. K. Pogrebkov, “Solitons in $1+1$ and $2+1$ dimensions”, Theoret. and Math. Phys., 172:2 (2012), 1035–1036  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2011
24. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Heat operator with pure soliton potential: properties of Jost and dual Jost solutions”, J. Math. Phys., 52:8 (2011), 083506 , 22 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
25. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Properties of the solitonic potentials of the heat operator”, Theoret. and Math. Phys., 168:1 (2011), 865–874  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus
26. A. K. Pogrebkov, “Hirota difference equation and a commutator identity on an associative algebra”, St. Petersburg Math. J., 22:3 (2011), 473–483  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2010
27. M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “The equivalence of different approaches for generating multisoliton solutions of the KPII equation”, Theoret. and Math. Phys., 165:1 (2010), 1237–1255  mathnet  crossref  crossref  adsnasa  isi  elib  elib  scopus
28. V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman, “Igor Krichever”, Mosc. Math. J., 10:4 (2010), 833–834  mathnet

   2009
29. M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Building an extended resolvent of the heat operator via twisting transformations”, Theoret. and Math. Phys., 159:3 (2009), 721–733  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2008
30. A. K. Pogrebkov, “2D Toda chain and associated commutator identity”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008, 261–269  mathscinet  zmath
31. A. K. Pogrebkov, “Commutator identities on associative algebras and the integrability of nonlinear evolution equations”, Theoret. and Math. Phys., 154:3 (2008), 405–417  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2007
32. M. Boiti, F. Pempinelli, B. Prinari, A. K. Pogrebkov, “Nonlinear Physics: Theory and Experiment IV”, Theoret. and Math. Phys., 151:3 (2007), 720–722  mathnet  crossref  crossref  mathscinet  isi  scopus

   2006
33. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed $N$-soliton potential”, J. Math. Phys., 47:12 (2006) , Article ID 123510, 43 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 10
34. A. K. Pogrebkov, “Hierarchy of quantum explicitly solvable and integrable models”, Bilinear integrable systems: from classical to quantum, continuous to discrete, NATO Sci. Ser. II Math. Phys. Chem., 201, Springer, Dordrecht, 2006, 231–244  mathscinet  zmath
35. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “On the extended resolvent of the nonstationary Schrödinger operator for a Darboux transformed potential”, J. Phys. A, 39:8 (2006), 1877–1898  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 8

   2005
36. M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Spectral Theory of the Nonstationary Schrödinger Equation with a Bidimensionally Perturbed One-Dimensional Potential”, Proc. Steklov Inst. Math., 251 (2005), 6–48  mathnet  mathscinet  zmath
37. M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Spectral Theory of the Nonstationary Schrodinger Equation with a Two-Dimensionally Perturbed Arbitrary One-Dimensional Potential”, Theoret. and Math. Phys., 144:2 (2005), 1100–1116  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2003
38. A. K. Pogrebkov, “KPII: new results and open problems”, Nonlinear physics: theory and experiment, II (Gallipoli, 2002), World Sci. Publ., River Edge, NJ, 2003, 108–117  crossref  mathscinet  zmath  adsnasa 1
39. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Prinari B., “Extended resolvent and inverse scattering with an application to KPI”, Integrability, topological solitons and beyond, J. Math. Phys., 44:8 (2003), 3309–3340  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 12
40. Fokas A. S., A. K. Pogrebkov, “Inverse scattering transform for the KPI equation on the background of a one-line soliton”, Nonlinearity, 16:2 (2003), 771–783  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 39
41. A. K. Pogrebkov, “Boson-fermion correspondence and quantum integrable and dispersionless models”, Russian Math. Surveys, 58:5 (2003), 1003–1037  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2002
42. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Prinari B., “Inverse scattering theory of the heat equation for a perturbed one-soliton potential”, J. Math. Phys., 43:2 (2002), 1044–1062  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 23

   2001
43. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Prinari B., “Towards an inverse scattering theory for non-decaying potentials of the heat equation”, Special issue to celebrate Pierre Sabatier's 65th birthday (Montpellier, 2000), Inverse Problems, 17:4 (2001), 937–957  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 46
44. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Prinari B., “Inverse scattering transform for the perturbed 1-soliton potential of the heat equation”, Phys. Lett. A, 285:5-6 (2001), 307–311  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 10
45. A. K. Pogrebkov, “Quantizing the KdV Equation”, Theoret. and Math. Phys., 129:2 (2001), 1586–1595  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2000
46. A. K. Pogrebkov, “On time evolutions associated with the nonstationary Schrödinger equation”, L. D. Faddeev's Seminar on Mathematical Physics, Amer. Math. Soc. Transl. Ser. 2, 201, Amer. Math. Soc., Providence, RI, 2000, 239–255  mathscinet  zmath
47. M. Boiti, F. Pempinelli, Prinari B., A. K. Pogrebkov, “Some nondecaying potentials for the heat conduction equation”, Proceedings of the Workshop on Nonlinearity, Integrability and All That: Twenty Years after NEEDS '79 (Gallipoli, 1999), World Sci. Publ., River Edge, NJ, 2000, 42–50  crossref  mathscinet  zmath 1
48. M. Boiti, F. Pempinelli, Prinari B., A. K. Pogrebkov, “Some nondecaying potentials for the nonstationary Schrödinger equation”, Proceedings of the Workshop on Nonlinearity, Integrability and All That: Twenty Years after NEEDS '79 (Gallipoli, 1999), World Sci. Publ., River Edge, NJ, 2000, 33–41  crossref  mathscinet  zmath
49. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Prinari B., “Wave soliton solutions on a generic background for KPI equation”, SIDE III—symmetries and integrability of difference equations (Sabaudia, 1998), CRM Proc. Lecture Notes, 25, Amer. Math. Soc., Providence, RI, 2000, 47–52  crossref  mathscinet  zmath

   1999
50. M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Bäcklund and Darboux Transformations for the Nonstationary Schrödinger Equation”, Proc. Steklov Inst. Math., 226 (1999), 42–62  mathnet  mathscinet  zmath
51. A. K. Pogrebkov, “Discrete Schrödinger Equation on a Finite Field and Associated Cellular Automaton”, Proc. Steklov Inst. Math., 225 (1999), 303–313  mathnet  mathscinet  zmath
52. A. K. Pogrebkov, M. C. Prati, “An Ablowitz–Ladik system with a discrete potential: I. Extended resolvent”, Theoret. and Math. Phys., 119:1 (1999), 407–419  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   1998
53. M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Towards an inverse scattering theory for two-dimensional nondecaying potentials”, Theoret. and Math. Phys., 116:1 (1998), 741–781  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   1997
54. M. Boiti, F. Pempinelli, Pogrebkov A., “Solving the Kadomtsev–Petviashvili equation with initial data not vanishing at large distances”, Inverse Problems, 13:3 (1997), L7–L10  crossref  mathscinet  zmath  adsnasa  isi  scopus 14

   1996
55. M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Spectral theory of solitons on a generic background for the KPI equation”, Nonlinear physics: theory and experiment (Lecce, 1995), World Sci. Publ., River Edge, NJ, 1996, 37–52  mathscinet  zmath
56. A. K. Pogrebkov, T. I. Garagash, “On a solution of the Cauchy problem for the Boiti–Leon–Pempinelli equation”, Theoret. and Math. Phys., 109:2 (1996), 1369–1378  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
57. A. K. Pogrebkov, M. C. Prati, “On bozonization of free massless fermions. II. – Case of infinite line”, Nuovo Cimento, 109 A (1996), 9–17  crossref  adsnasa  scopus 1
58. A. K. Pogrebkov, M. C. Prati, “Resolvent approach to the Ablowitz–Ladik linear system”, Nuovo Cimento, 111 B (1996), 1495–1505  crossref  scopus 3

   1995
59. M. Boiti, F. Pempinelli, Pogrebkov A., “Dressing of a two-dimensional nontrivial potential”, The nonlinear Schrödinger equation (Chernogolovka, 1994), Phys. D, 87:1-4 (1995), 123–126  crossref  mathscinet  zmath  isi  elib  scopus 5
60. M. Boiti, F. Pempinelli, Pogrebkov A., “The KPI equation with unconstrained initial data”, KdV '95 (Amsterdam, 1995), Acta Appl. Math., 39:1-3 (1995), 175–192  crossref  mathscinet  zmath  isi  scopus 4
61. T. I. Garagash, A. K. Pogrebkov, “Scattering problem for the differential operator $\partial_x\partial_y+1+a(x,y)\partial_y+ b(x,y)$”, Theoret. and Math. Phys., 102:2 (1995), 117–132  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
62. O. I. Mokhov, S. P. Novikov, A. K. Pogrebkov, “Irina Yakovlevna Dorfman (obituary)”, Russian Math. Surveys, 50:6 (1995), 1241–1246  mathnet  crossref  mathscinet  zmath  adsnasa  isi

   1994
63. M. Boiti, F. Pempinelli, Pogrebkov A., “Properties of solutions of the Kadomtsev-Petviashvili I equation”, J. Math. Phys., 35:9 (1994), 4683–4718  crossref  mathscinet  zmath  adsnasa  isi  scopus 39
64. M. Boiti, F. Pempinelli, Pogrebkov A., “Solutions of the KPI equation with smooth initial data”, Inverse Problems, 10:3 (1994), 505–519  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 32
65. Theoret. and Math. Phys., 99:2 (1994), 583–587  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
66. Theoret. and Math. Phys., 99:2 (1994), 511–522  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
67. A. K. Pogrebkov, M. C. Prati, “On bozonization of free massless fermions. I. – Periodic case”, Nuovo Cimento, 107 A (1994), 1315–1323  crossref  adsnasa  scopus 2

   1993
68. M. Boiti, F. Pempinelli, A. K. Pogrebkov, M. C. Polivanov, “Resolvent approach for the nonstationary Schrödinger equation with line-type potential”, Nonlinear Process in Physics, Springer, Berlin, 1993, 82-86  crossref  mathscinet  adsnasa

   1992
69. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Polivanov M. C., “Resolvent approach for the nonstationary Schrödinger equation (standard case of rapidly decreasing potential)”, Nonlinear evolution equations and dynamical systems (Baia Verde, 1991), World Sci. Publ., River Edge, NJ, 1992, 97–107  mathscinet  zmath
70. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Polivanov M. C., “Resolvent approach for the nonstationary Schrödinger equation”, Inverse Problems, 8:3 (1992), 331–364  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 26
71. M. Boiti, F. Pempinelli, A. K. Pogrebkov, M. K. Polivanov, “Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and KPI equation”, Theoret. and Math. Phys., 93:2 (1992), 1200–1224  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
72. N. N. Bogolyubov, V. S. Vladimirov, A. A. Logunov, V. P. Maslov, E. F. Mishchenko, A. N. Tavkhelidze, L. D. Faddeev, A. A. Slavnov, D. V. Shirkov, V. G. Kadyshevskii, V. A. Matveev, V. A. Moskalenko, D. N. Zubarev, B. V. Medvedev, V. Ya. Fainberg, O. A. Khrustalev, I. Ya. Aref'eva, O. I. Zavialov, V. P. Pavlov, A. K. Pogrebkov, S. S. Horuzhy, “Mikhail Konstantinovich Polivanov (1930–1992)”, Theoret. and Math. Phys., 90:2 (1992), 107  mathnet  crossref  isi
73. O. I. Zavialov, D. N. Zubarev, B. V. Medvedev, S. P. Novikov, V. P. Pavlov, A. K. Pogrebkov, A. A. Slavnov, A. D. Sukhanov, L. D. Faddeev, S. S. Horuzhy, D. V. Shirkov, “Mikhail Konstantinovich Polivanov (Obituary)”, Phys. Usp., 35:7 (1992), 623–625  mathnet  crossref  crossref  adsnasa

   1991
74. M. Boiti, F. Pempinelli, A. K. Pogrebkov, Polivanov M. C., “New features of Bäcklund and Darboux transformations in $2+1$ dimensions”, Inverse Problems, 7:1 (1991), 43–56  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 18

   1990
75. M. Boiti, Leon J. Jp., F. Pempinelli, A. K. Pogrebkov, “Solitons and spectral transform for the DSI and KPI equations”, Solitons and applications (Dubna, 1989), World Sci. Publ., River Edge, NJ, 1990, 19–30  mathscinet

   1989
76. Arkadiev V. A., A. K. Pogrebkov, Polivanov M. C., “Closed string-like solutions of the Davey-Stuartson equation”, IXth International Congress on Mathematical Physics (Swansea, 1988), Hilger, Bristol, 1989, 335–338  mathscinet
77. Arkadiev V. A., A. K. Pogrebkov, Polivanov M. C., “Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation”, Phys. D, 36:1-2 (1989), 189–197  crossref  mathscinet  zmath  isi  elib  scopus 80
78. A. K. Pogrebkov, “On the formulation of the Painlevé test as a criterion of complete integrability of partial differential equations”, Inverse Problems, 5:1 (1989), L7–L10  crossref  mathscinet  zmath  adsnasa  isi  scopus 12
79. Arkad'ev V. A., A. K. Pogrebkov, Polivanov M. C., “Closed string-like solutions of the Davey-Stewartson equation”, Inverse Problems, 5:1 (1989), L1–L6  crossref  mathscinet  zmath  adsnasa  isi  scopus 22
80. V .A. Arkadiev, A. K. Pogrebkov, M. C. Polivanov, Inverse Scattering Transform Method and Soliton Solutions for Davey-Stewartson II Equation, Preprint IC/89/12, International Center for Theoretical Physics, Trieste, Italy, 1989 , 15 pp.  mathscinet  zmath

   1988
81. Soviet Phys. Dokl., 33:1 (1988), 24–26  mathnet  mathscinet  zmath  adsnasa  isi
82. V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. II”, Theoret. and Math. Phys., 75:2 (1988), 448–460  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
83. V. A. Arkadiev, A. K. Pogrebkov, M. C. Polivanov, “Simplectic and Poisson structures associated to Sturm–Liouville problem”, Nonlinear and turbolent processes in physics, eds. V. G. Baryakhtar, N. S. Erokhin, V. E. Zakharov, A. G. Sitenko, V. M. Chernousenko, Naukova Dumka, Kiev, 1988, 19-22

   1987
84. A. K. Pogrebkov, “String solutions in three-dimensional field models”, Phys. Lett. B, 186:3–4 (1987), 347–350  crossref  mathscinet  adsnasa  isi  elib  scopus 1

   1988
85. A. K. Pogrebkov, M. K. Polivanov, “Liouville field theory”, Proc. Steklov Inst. Math., 176 (1988), 89–99  mathnet  mathscinet  zmath

   1987
86. V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. I”, Theoret. and Math. Phys., 72:3 (1987), 909–920  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
87. A. K. Pogrebkov, S. V. Talalov, “"Thirring $\times$ Liouville" model”, Theoret. and Math. Phys., 70:3 (1987), 241–247  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1986
88. Jorjadze G. P., A. K. Pogrebkov, Polivanov M. C., Talalov S. V., “Liouville field theory: IST and Poisson bracket structure”, J. Phys. A, 19:1 (1986), 121–139  crossref  mathscinet  zmath  adsnasa  isi  scopus 19

   1985
89. A. K. Pogrebkov, Polivanov M. K., “The Liouville and sinh-Gordon equations. Singular solutions, dynamics of singularities and the inverse problem method”, Mathematical physics reviews, Vol. 5, Soviet Sci. Rev. Sect. C Math. Phys. Rev., 5, Harwood Academic Publ., Chur, 1985, 197–271  mathscinet

   1984
90. Arkad'ev V. A., A. K. Pogrebkov, Polivanov M. K., “Singular solutions of the KdV equation and the method of the inverse problem”, Differential geometry, Lie groups and mechanics, VI, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI), 133 (1984), 17–37  mathnet  mathscinet  zmath 12

   1983
91. Soviet J. Particles and Nuclei, 14:5 (1983), 450–457  mathscinet
92. A. K. Pogrebkov, Todorov I. T., “Relativistic Hamiltonian dynamics of singularities of the Liouville equation”, Ann. Inst. H. Poincaré Sect. A (N.S.), 38:1 (1983), 81–92  mathscinet  zmath
93. V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Application of inverse scattering method to singular solutions of nonlinear equations. II”, Theoret. and Math. Phys., 54:1 (1983), 12–22  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
94. A. K. Pogrebkov, O vzaimodeistvii chastits i polei v klassicheskoi teorii, Diss. na soiskanie uch. st. doktora fiz.-mat. nauk, MIAN SSSR, Moskva, 1983 , 209 pp.
95. T. I. Garagash, A. K. Pogrebkov, “Resolvent method for two-dimensional inverse problems”, Nonlinear Evolution Equations and Dynamical Systems, eds. M. Boiti, L. Martina, F. Pempinelli, Word Sci., Singapore, 1983, 124–129

   1982
96. A. K. Pogrebkov, “Nonlinear equations for fields radiated by particles”, Lett. Math. Phys., 6:4 (1982), 243–248  crossref  mathscinet  zmath  adsnasa  isi  scopus 4
97. A. K. Pogrebkov, Polivanov M. C., “Some topics in the theory of singular solutions of nonlinear equations”, Twistor geometry and nonlinear systems (Primorsko, 1980), Lecture Notes in Math., 970, Springer, Berlin, 1982, 129–145  crossref  mathscinet  isi
98. V. A. Arkad'ev, A. K. Pogrebkov, M. K. Polivanov, “Application of inverse scattering method to singular solutions of nonlinear equations. I”, Theoret. and Math. Phys., 53:2 (1982), 1051–1062  mathnet  crossref  mathscinet  adsnasa  isi  scopus

   1981
99. A. K. Pogrebkov, “Singular solitons: an example of a sinh-Gordon equation”, Lett. Math. Phys., 5:4 (1981), 277–285  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 16
100. G. P. Dzhordzhadze, A. K. Pogrebkov, M. K. Polivanov, “Globalnoe reshenie uravneniya Liuvillya $\varphi_{tt}-\varphi_{xx}+\frac{1}{2}exp\varphi=0$ v odnom klasse obobschennykh funktsii.”, Obobschennye funktsii i ikh prilozheniya v matematicheskoi fizike, MIAN i VTs AN SSSR, Moskva, 1981, 1–4
101. A. K. Pogrebkov, M. C. Polivanov, Fields and particles in classical nonlinear models, IC/81/237, ICTP, Trieste, Italy, 1981 , 20 pp.

   1980
102. A. K. Pogrebkov, “Complete integrability of dynamical systems generated by singular solutions of liouville's equation”, Theoret. and Math. Phys., 45:2 (1980), 951–957  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

   1979
103. A. K. Pogrebkov, “Global solutions of Cauchy problems for the Liouville equation $\varphi \sb{tt}-\varphi \sb{xx}=-{1\over 2}m\sp{2}$ ${\rm exp}\ \varphi $ in the case of singular initial data”, Dokl. Akad. Nauk SSSR, 244:4 (1979), 873–876  mathnet  mathscinet  mathscinet  zmath  adsnasa 9
104. G. P. Jorjadze, A. K. Pogrebkov, M. K. Polivanov, “Singular solutions of the equation $\Box\varphi+(m^2/2)\exp\varphi=0$ and dynamics of singularities”, Theoret. and Math. Phys., 40:2 (1979), 706–715  mathnet  crossref  mathscinet  zmath  isi  scopus

   1978
105. Džordžadze G. P., A. K. Pogrebkov, Polivanov M. K., “Global solutions of the Cauchy problem for the Liouville equation $\varphi \sb{tt}(t,\,x)-\ \varphi \sb{xx}(t,\,x)$ $={1\over 2}m\sp{2}$ ${\rm exp}\ \varphi (t,\,x)$”, Dokl. Akad. Nauk SSSR, 243:2 (1978), 318–320  mathnet  mathscinet  mathscinet  zmath 5
106. G. P. Dzordzadze, A. K. Pogrebkov, M. C. Polivanov, On the solutions with singularities of the Liouville equation $\square\varphi+(m^2/2)exp\varphi=0$., IC/78/126, ICTP, Trieste, Italy, 1978 , 19 pp.

   1976
107. A. K. Pogrebkov, V. N. Sushko, “Quantum solitons and their connection with fermion fields for the $(\sin\varphi)_2$”, Theoret. and Math. Phys., 26:3 (1976), 286–289  mathnet  crossref  mathscinet  adsnasa  scopus

   1975
108. I. Ya. Aref'eva, A. K. Pogrebkov, V. N. Sushko, I. V. Volovich, “The renormalized Hamiltonian, the local fields, and the scattering theory for some translationally-invariant models of quantum field theory”, Mezhdunarodnaya konferentsiya po matematicheskim problemam kvantovoi teorii polya i kvantovoi statistiki. Chast I. Aksiomaticheskaya kvantovaya teoriya polya, Sbornik dokladov (Moskva, 12–17 dekabrya 1972), Tr. MIAN SSSR, 135, 1975, 95–104  mathnet  mathscinet 1
109. A. K. Pogrebkov, V. N. Sushko, “Quantization of the $(\sin\varphi)_2$ interaction in terms of fermion variables”, Theoret. and Math. Phys., 24:3 (1975), 935–937  mathnet  crossref  adsnasa  scopus
110. A. K. Pogrebkov, V. N. Sushko, “Hamiltonian theory of the interaction of a massive vector field with a massless fermion field in two-dimensional spacetime: The $(\tilde\Psi\gamma^{\mu}\Psi B_{\mu})_2$ interaction”, Theoret. and Math. Phys., 22:2 (1975), 110–122  mathnet  crossref  mathscinet  adsnasa  scopus

   1973
111. A. K. Pogrebkov, “Thirring model. Asymptotic fields and $S$ matrix”, Theoret. and Math. Phys., 17:1 (1973), 977–983  mathnet  crossref  mathscinet  adsnasa  scopus
112. A. K. Pogrebkov, V. N. Sushko, Equations of motion and renormalized fields in constructive quantum field approach to some exactly solvable models, ITP-73-120E, Institut teoreticheskoi fiziki AN USSR, Kiev, 1973 , 24 pp.
113. A. K. Pogrebkov, Vzaimodeistvuyuschie i asimptoticheskie polya v dvumernykh modelyakh kvantovoi teorii polya., Diss. na soiskanie stepeni kand. fiz.-mat. nauk, MIAN SSSR, Moskva, 1973 , 104 pp.

   1972
114. A. K. Pogrebkov, “Two-dimensional classically solvable model with nontrivial scattering”, Theoret. and Math. Phys., 12:2 (1972), 765–768  mathnet  crossref  adsnasa  scopus

Presentations in Math-Net.Ru
1. Induced dynamics and quantum properties of classical integrable systems
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 6, 2024 13:30   
2. Quantum effects in classical dynamics
A. K. Pogrebkov
Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev
May 31, 2024 15:00   
3. Странные системы интегрируемых уравнений
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 9, 2022 13:00
4. Opening
A. K. Pogrebkov, D. V. Treschev
International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov
June 1, 2022 10:00   
5. Иерархии интегрируемых уравнений с отрицательными номерами времен
A. K. Pogrebkov
Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2021
November 24, 2021 12:40   
6. Opening
A. K. Pogrebkov
International conference in memory of M. K. Polivanov "Polivanov–90"
December 16, 2020 10:00
7. Заседание посвящено памяти Алексея Борисовича Шабата
V. E. Zakharov, A. V. Mikhailov, V. V. Sokolov, A. P. Veselov, V. E. Adler, A. K. Pogrebkov
Meetings of the Moscow Mathematical Society
June 2, 2020 18:30   
8. Hirota Difference Equation and Darboux System: Mutual Symmetry
A. K. Pogrebkov
Complex analysis and mathematical physics
March 17, 2020 16:00
9. Семинар 5. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
March 10, 2020 18:00
10. Семинар 4. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
March 3, 2020 18:00
11. Семинар 3. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
February 25, 2020 18:00
12. Семинар 2. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
February 18, 2020 18:00
13. Семинар 1. Методы классических и квантовых интегрируемых систем
A. V. Zotov, A. K. Pogrebkov, N. A. Slavnov
Seminar by A. V. Zotov, A. K. Pogrebkov and N. A. Slavnov "Methods of classical and quantum integrable systems"
February 11, 2020 18:00
14. Непрерывные симметрии разностных интегрируемых уравнений и их связь с интегрируемыми дифференциальными уравнениями
A. K. Pogrebkov
International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 18, 2019 14:00   
15. Индуцированная динамика
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 30, 2019 14:00
16. Индуцированная динамика
A. K. Pogrebkov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
January 23, 2019 14:00
17. Система Дарбу: лиувиллева редукция и явное решение
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 25, 2018 14:00
18. Symmetries of the Hirota difference equations
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 5, 2017 14:00
19. Функция Коши–Йоста и иерархии интегрируемых уравнений
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 13, 2015 14:00
20. Коммутаторные тождества на ассоциативной алгебре и неабелевы интегрируемые уравнения
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 11, 2015 14:00
21. IST of KPII equation for perturbed multisoliton solutions
A. K. Pogrebkov
Scientific session of the Steklov Mathematical Institute dedicated to the results of 2014
November 12, 2014 14:45   
22. KPII: inverse scattering problem on the solitonic background
A. K. Pogrebkov
International conference "Geometrical Methods in Mathematical Physics"
December 15, 2011 16:00   
23. Разностное уравнение Хироты: метод обратной задачи, преобразование Дарбу, солитоны
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
March 23, 2011 14:00
24. Integrability in (2+1) dimensions: recent methods and results
A. K. Pogrebkov
Steklov Mathematical Institute Seminar
November 18, 2010 16:00   
25. О сингулярных решениях нелинейных интегрируемых уравнений
A. K. Pogrebkov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
January 20, 2010 14:00
26. О возмущении солитонных решений уравнения КПII
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 25, 2009 14:00
27. Commutator identities and integrability: Hirota bilinear difference equation
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
November 26, 2008 14:00
28. Hirota bilinear discrete equation and associated commutator identity
A. K. Pogrebkov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
August 27, 2008
29. Twisting and Darboux transformations and resolvent of the Nonstationary Schrödinger operator. Part 2
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 15, 2006
30. Twisting and Darboux transformations and resolvent of the Nonstationary Schrödinger operator
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
February 1, 2006
31. Greeting
A. K. Pogrebkov
Festive meeting for the 100th birthday of Academician Sergei Mikhailovich Nikol'skii
April 30, 2005   

Books in Math-Net.Ru
  1. Modern problems of mathematical and theoretical physics, Collected papers. On the occasion of the 80th birthday of Academician Andrei Alekseevich Slavnov, Trudy Mat. Inst. Steklova, 309, ed. A. K. Pogrebkov, N. A. Slavnov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, 2020, 346 с.
    http://mi.mathnet.ru/book1783

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