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Pogrebkov, Andrei Konstantinovich

Total publications: 104 (99)
in MathSciNet: 82 (80)
in zbMATH: 56 (55)
in Web of Science: 60 (57)
in Scopus: 60 (59)
Cited articles: 74
Citations in Math-Net.Ru: 252
Citations in MathSciNet: 217
Citations in Web of Science: 517
Citations in Scopus: 583
Presentations: 18

Number of views:
This page:3977
Abstract pages:15467
Full texts:3677
References:1375
Pogrebkov, Andrei Konstantinovich
Senior Researcher
Doctor of physico-mathematical sciences (1984)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 18.09.1946
Phone: +7 (495) 984 81 41
Fax: +7 (499) 135 05 55
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).

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

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


1. A. K. Pogrebkov, “Calogero–Moser and Ruijsenaars–Schneider systems in terms of the induced dynamics”, TMF (to appear)  mathnet

   2020
2. Sovremennye problemy matematicheskoi i teoreticheskoi fiziki, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Andreya Alekseevicha Slavnova, Tr. MIAN, 309, ed. N. A. Slavnov, A. K. Pogrebkov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, MIAN, M., 2020  mathnet

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

   2018
4. 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  isi (cited: 2)  elib  scopus (cited: 2)
5. A. K. Pogrebkov, “Higher Hirota difference equations and their reductions”, Theoret. and Math. Phys., 197:3 (2018), 1779–1796  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
6. 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  isi  scopus

   2017
7. Andrei K. Pogrebkov, “Symmetries of the Hirota Difference Equation”, SIGMA, 13 (2017), 53 , 14 pp., arXiv: 1704.00043  mathnet (cited: 5)  crossref  mathscinet  isi (cited: 5)  scopus (cited: 5)
8. 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 (cited: 2)  scopus (cited: 2)

   2016
9. 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 (cited: 4)  elib  elib  scopus (cited: 4)

   2015
10. 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 (cited: 2)  elib  scopus (cited: 2)

   2014
11. 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
12. 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 (cited: 5)  elib  scopus (cited: 5)

   2012
13. 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 (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 1)
14. 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
15. 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 (cited: 2)  scopus (cited: 2)
16. 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 (cited: 7)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 6)
17. 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 (cited: 5)  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)

   2010
18. 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 (cited: 7)  elib (cited: 7)  elib (cited: 7)  scopus (cited: 7)
19. 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
20. 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 (cited: 6)  elib (cited: 6)  elib (cited: 6)  scopus (cited: 6)

   2008
21. 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
22. 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 (cited: 6)  elib  scopus (cited: 6)

   2007
23. 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
24. 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 (cited: 6)  elib (cited: 4)  scopus (cited: 5)
25. 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
26. 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 (cited: 5)  elib (cited: 3)  scopus (cited: 5)

   2005
27. 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
28. 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 (cited: 3)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 3)

   2003
29. 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
30. 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 (cited: 8)  elib (cited: 12)  scopus (cited: 12)
31. 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 (cited: 20)  elib (cited: 19)  scopus (cited: 27)
32. 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 (cited: 12)  elib (cited: 10)  scopus (cited: 14)

   2002
33. 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 (cited: 16)  elib (cited: 10)  scopus (cited: 17)

   2001
34. 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 (cited: 28)  elib (cited: 22)  scopus (cited: 31)
35. 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 (cited: 8)  elib (cited: 8)  scopus (cited: 8)
36. A. K. Pogrebkov, “Quantizing the KdV Equation”, Theoret. and Math. Phys., 129:2 (2001), 1586–1595  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 4)  scopus (cited: 6)

   2000
37. 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
38. 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
39. 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
40. 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  mathscinet  zmath

   1999
41. 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
42. 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
43. 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
44. 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 (cited: 11)  elib (cited: 9)  scopus (cited: 10)

   1997
45. 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 (cited: 11)

   1996
46. 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
47. 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 (cited: 1)  scopus (cited: 1)
48. A. K. Pogrebkov, M. C. Prati, “On bozonization of free massless fermions. II. – Case of infinite line”, Nuovo Cimento, 109 A (1996), 9–17
49. A. K. Pogrebkov, M. C. Prati, “Resolvent approach to the Ablowitz–Ladik linear system”, Nuovo Cimento, 111 B (1996), 1495–1505

   1995
50. 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 (cited: 5)  elib (cited: 5)  scopus (cited: 5)
51. 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 (cited: 2)  scopus (cited: 2)
52. 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 (cited: 4)  scopus (cited: 4)
53. 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 (cited: 1)

   1994
54. 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 (cited: 28)  scopus (cited: 32)
55. 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 (cited: 29)  elib (cited: 13)  scopus (cited: 33)
56. Theoret. and Math. Phys., 99:2 (1994), 583–587  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  scopus (cited: 1)
57. Theoret. and Math. Phys., 99:2 (1994), 511–522  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 11)  scopus (cited: 18)
58. A. K. Pogrebkov, M. C. Prati, “On bozonization of free massless fermions. I. – Periodic case”, Nuovo Cimento, 107 A (1994), 1315–1323

   1993
59. 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

   1992
60. 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
61. 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 (cited: 25)  elib (cited: 18)  scopus (cited: 28)
62. 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 (cited: 20)  scopus (cited: 26)
63. 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

   1991
64. 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 (cited: 17)  elib (cited: 4)  scopus (cited: 18)

   1990
65. 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
66. 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
67. 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 (cited: 63)  elib (cited: 21)  scopus (cited: 63)
68. 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 (cited: 12)  scopus (cited: 10)
69. 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  adsnasa  isi (cited: 18)  scopus (cited: 24)
70. 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.

   1988
71. Soviet Phys. Dokl., 33:1 (1988), 24–26  mathnet  mathscinet  adsnasa  isi
72. 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 (cited: 9)  scopus (cited: 8)
73. 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
74. A. K. Pogrebkov, “String solutions in three-dimensional field models”, Phys. Lett. B, 186:3–4 (1987), 347–350  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)

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

   1987
76. 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 (cited: 8)  scopus (cited: 7)
77. A. K. Pogrebkov, S. V. Talalov, ““Thirring $\times$ Liouville” model”, Theoret. and Math. Phys., 70:3 (1987), 241–247  mathnet  crossref  mathscinet  adsnasa  isi (cited: 5)  scopus (cited: 8)

   1986
78. 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 (cited: 17)  scopus (cited: 20)

   1985
79. 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
80. 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 (cited: 12)  mathscinet  zmath

   1983
81. Soviet J. Particles and Nuclei, 14:5 (1983), 450–457  mathscinet
82. 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
83. 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 (cited: 3)  scopus (cited: 2)
84. 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.
85. 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
86. A. K. Pogrebkov, “Nonlinear equations for fields radiated by particles”, Lett. Math. Phys., 6:4 (1982), 243–248  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 4)
87. 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
88. 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 (cited: 5)  scopus (cited: 11)

   1981
89. 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 (cited: 12)  elib  scopus (cited: 11)
90. 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
91. A. K. Pogrebkov, M. C. Polivanov, Fields and particles in classical nonlinear models, IC/81/237, ICTP, Trieste, Italy, 1981 , 20 pp.

   1980
92. 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 (cited: 4)  scopus (cited: 5)

   1979
93. A. K. Pogrebkov, “Global solutions of Cauchy problems for the Liouville equation $\varphi \sb{tt}-\varphi \sb{xx}=-{1\over 2}m\sp{2}$ $exp \varphi $ in the case of singular initial data”, Dokl. Akad. Nauk SSSR, 244:4 (1979), 873–876  mathnet (cited: 9)  mathscinet  mathscinet  zmath  adsnasa
94. 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 (cited: 17)  scopus (cited: 23)

   1978
95. Džordžadze G. P., A. K. Pogrebkov, Polivanov M. K., “Global solutions of the Cauchy problem for the Liouville equation $\varphi \sb{tt}(t, x)- \varphi \sb{xx}(t, x)$ $={1\over 2}m\sp{2}$ $exp \varphi (t, x)$”, Dokl. Akad. Nauk SSSR, 243:2 (1978), 318–320  mathnet (cited: 3)  mathscinet  mathscinet  zmath
96. 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
97. 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 (cited: 7)

   1975
98. 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 (cited: 1)  mathscinet
99. 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 (cited: 16)
100. 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
101. A. K. Pogrebkov, “Thirring model. Asymptotic fields and $S$ matrix”, Theoret. and Math. Phys., 17:1 (1973), 977–983  mathnet  crossref  mathscinet  adsnasa  scopus (cited: 2)
102. 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.
103. 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
104. A. K. Pogrebkov, “Two-dimensional classically solvable model with nontrivial scattering”, Theoret. and Math. Phys., 12:2 (1972), 765–768  mathnet  crossref  adsnasa  scopus (cited: 1)

Presentations in Math-Net.Ru
1. 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   
2. Индуцированная динамика
A. K. Pogrebkov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
January 30, 2019 14:00
3. Индуцированная динамика
A. K. Pogrebkov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
January 23, 2019 14:00
4. 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
5. 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
6. 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
7. 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
8. 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   
9. KPII: inverse scattering problem on the solitonic background
A. K. Pogrebkov
International conference "Geometrical Methods in Mathematical Physics"
December 15, 2011 16:00   
10. 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
11. Integrability in (2+1) dimensions: recent methods and results
A. K. Pogrebkov
Steklov Mathematical Institute Seminar
November 18, 2010 16:00   
12. 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
January 20, 2010 14:00
13. 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
14. 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
15. 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
August 27, 2008
16. 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
17. 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
18. 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 birth of Academician Andrei Alekseevich Slavnov, Tr. Mat. Inst. Steklova, 309, ed. N. A. Slavnov, A. K. Pogrebkov, A. A. Belavin, A. V. Zotov, I. V. Tyutin, 2020
    http://mi.mathnet.ru/book1783

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