Persons: Pogrebkov, Andrei Konstantinovich

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Pogrebkov, Andrei Konstantinovich

Statistics
in MathSciNet:	92 (88)
in zbMATH:	66 (64)
in Web of Science:	66 (62)
in Scopus:	71 (70)

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

List of publications:

scientific publications

by years

by types

by times cited

common list

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

Articles

1.	A. K. Pogrebkov, TMF
2.	A. K. Pogrebkov, “Quantum aspect of the classical dynamics”, Part. Differ. Equ. in Appl. Math., 11 (2024), 100907 , 4 pp., arXiv: 2407.16018
3.	A. K. Pogrebkov, “Equation with a lower negative time number in the Davey–Stewartson hierarchy”, Theoret. and Math. Phys., 221:3 (2024), 2022–2030
4.	A. K. Pogrebkov, “Nonexplicit versions of integrable equations”, Theoret. and Math. Phys., 217:3 (2023), 1907–1913
5.	Andrei K. Pogrebkov, “Kadomtsev–Petviashvili hierarchy: negative times”, Mathematics, 9:16 (2021), 1988 , 10 pp.	3 ^[x]
6.	Andrei K. Pogrebkov, “Negative Times of the Davey–Stewartson Integrable Hierarchy”, SIGMA, 17 (2021), 91 , 12 pp., arXiv: 2106.03835	3 ^[x]
7.	A. K. Pogrebkov, “Induced Dynamics”, J. Nonlinear Math. Phys., 27:2 (2020), 324–336	2 ^[x]
8.	A. K. Pogrebkov, “Commutator identities and integrable hierarchies”, Theoret. and Math. Phys., 205:3 (2020), 1585–1592
9.	A. K. Pogrebkov, “Multiplicative dynamical systems in terms of the induced dynamics”, Theoret. and Math. Phys., 204:3 (2020), 1201–1208
10.	Andrei Pogrebkov, “Hirota Difference Equation and Darboux System: Mutual Symmetry”, Symmetry, 11:3 (2019), 436 , 11 pp.	2 ^[x]
11.	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
12.	A. K. Pogrebkov, “Higher Hirota difference equations and their reductions”, Theoret. and Math. Phys., 197:3 (2018), 1779–1796
13.	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
14.	Andrei K. Pogrebkov, “Symmetries of the Hirota Difference Equation”, SIGMA, 13 (2017), 53 , 14 pp., arXiv: 1704.00043	5 ^[x]
15.	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	3 ^[x]
16.	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
17.	M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Cauchy–Jost function and hierarchy of integrable equations”, Theoret. and Math. Phys., 185:2 (2015), 1599–1613
18.	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
19.	A. K. Pogrebkov, “Hirota difference equation: Inverse scattering transform, Darboux transformation, and solitons”, Theoret. and Math. Phys., 181:3 (2014), 1585–1598
20.	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
21.	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.	4 ^[x]
22.	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
23.	A. K. Pogrebkov, “Hirota difference equation and a commutator identity on an associative algebra”, St. Petersburg Math. J., 22:3 (2011), 473–483
24.	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
25.	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
26.	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
27.	A. K. Pogrebkov, “Commutator identities on associative algebras and the integrability of nonlinear evolution equations”, Theoret. and Math. Phys., 154:3 (2008), 405–417
28.	M. Boiti, F. Pempinelli, B. Prinari, A. K. Pogrebkov, “Nonlinear Physics: Theory and Experiment IV”, Theoret. and Math. Phys., 151:3 (2007), 720–722
29.	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.	10 ^[x]
30.	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
31.	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	8 ^[x]
32.	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
33.	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
34.	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	2 ^[x]
35.	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	12 ^[x]
36.	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	41 ^[x]
37.	A. K. Pogrebkov, “Boson-fermion correspondence and quantum integrable and dispersionless models”, Russian Math. Surveys, 58:5 (2003), 1003–1037
38.	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	25 ^[x]
39.	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	49 ^[x]
40.	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	10 ^[x]
41.	A. K. Pogrebkov, “Quantizing the KdV Equation”, Theoret. and Math. Phys., 129:2 (2001), 1586–1595
42.	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
43.	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	1 ^[x]
44.	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
45.	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
46.	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
47.	A. K. Pogrebkov, “Discrete Schrödinger Equation on a Finite Field and Associated Cellular Automaton”, Proc. Steklov Inst. Math., 225 (1999), 303–313
48.	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
49.	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
50.	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	15 ^[x]
51.	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
52.	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
53.	A. K. Pogrebkov, M. C. Prati, “On bozonization of free massless fermions. II. – Case of infinite line”, Nuovo Cimento, 109 A (1996), 9–17	1 ^[x]
54.	A. K. Pogrebkov, M. C. Prati, “Resolvent approach to the Ablowitz–Ladik linear system”, Nuovo Cimento, 111 B (1996), 1495–1505	3 ^[x]
55.	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	5 ^[x]
56.	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	4 ^[x]
57.	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
58.	M. Boiti, F. Pempinelli, Pogrebkov A., “Properties of solutions of the Kadomtsev-Petviashvili I equation”, J. Math. Phys., 35:9 (1994), 4683–4718	40 ^[x]
59.	M. Boiti, F. Pempinelli, Pogrebkov A., “Solutions of the KPI equation with smooth initial data”, Inverse Problems, 10:3 (1994), 505–519	33 ^[x]
60.	Theoret. and Math. Phys., 99:2 (1994), 583–587
61.	Theoret. and Math. Phys., 99:2 (1994), 511–522
62.	A. K. Pogrebkov, M. C. Prati, “On bozonization of free massless fermions. I. – Periodic case”, Nuovo Cimento, 107 A (1994), 1315–1323	2 ^[x]
63.	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
64.	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
65.	M. Boiti, F. Pempinelli, A. K. Pogrebkov, Polivanov M. C., “Resolvent approach for the nonstationary Schrödinger equation”, Inverse Problems, 8:3 (1992), 331–364	26 ^[x]
66.	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
67.	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	18 ^[x]
68.	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
69.	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
70.	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	88 ^[x]
71.	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	12 ^[x]
72.	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	24 ^[x]
73.	Soviet Phys. Dokl., 33:1 (1988), 24–26
74.	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
75.	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
76.	A. K. Pogrebkov, “String solutions in three-dimensional field models”, Phys. Lett. B, 186:3–4 (1987), 347–350	1 ^[x]
77.	A. K. Pogrebkov, M. K. Polivanov, “Liouville field theory”, Proc. Steklov Inst. Math., 176 (1988), 89–99
78.	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
79.	A. K. Pogrebkov, S. V. Talalov, “"Thirring $\times$ Liouville" model”, Theoret. and Math. Phys., 70:3 (1987), 241–247
80.	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	19 ^[x]
81.	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
82.	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	13 ^[x]
83.	Soviet J. Particles and Nuclei, 14:5 (1983), 450–457
84.	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
85.	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
86.	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
87.	A. K. Pogrebkov, “Nonlinear equations for fields radiated by particles”, Lett. Math. Phys., 6:4 (1982), 243–248	4 ^[x]
88.	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
89.	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
90.	A. K. Pogrebkov, “Singular solitons: an example of a sinh-Gordon equation”, Lett. Math. Phys., 5:4 (1981), 277–285	16 ^[x]
91.	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
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
93.	A. K. Pogrebkov, “Global solutions of Cauchy problems for the Liouville equation $\varphi \sb{tt}-\varphi \sb{xx}=-{1\over 2}m\sp{2}$ ${\rm exp}\ \varphi $ in the case of singular initial data”, Dokl. Akad. Nauk SSSR, 244:4 (1979), 873–876	9 ^[x]
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
95.	Džordžadze G. P., A. K. Pogrebkov, Polivanov M. K., “Global solutions of the Cauchy problem for the Liouville equation $\varphi \sb{tt}(t,\,x)-\ \varphi \sb{xx}(t,\,x)$ $={1\over 2}m\sp{2}$ ${\rm exp}\ \varphi (t,\,x)$”, Dokl. Akad. Nauk SSSR, 243:2 (1978), 318–320	5 ^[x]
96.	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
97.	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	1 ^[x]
98.	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
99.	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
100.	A. K. Pogrebkov, “Thirring model. Asymptotic fields and $S$ matrix”, Theoret. and Math. Phys., 17:1 (1973), 977–983
101.	A. K. Pogrebkov, “Two-dimensional classically solvable model with nontrivial scattering”, Theoret. and Math. Phys., 12:2 (1972), 765–768
Thesis

102.	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.
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.
Preprints

104.	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.
105.	A. K. Pogrebkov, M. C. Polivanov, Fields and particles in classical nonlinear models, IC/81/237, ICTP, Trieste, Italy, 1981 , 20 pp.
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.
107.	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.
Information matherials

108.	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
Personalia

109.	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
110.	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
111.	O. I. Mokhov, S. P. Novikov, A. K. Pogrebkov, “Irina Yakovlevna Dorfman (obituary)”, Russian Math. Surveys, 50:6 (1995), 1241–1246
112.	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
113.	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
Miscellaneous

114.	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.
115.	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 ; , arXiv: 2106.03835

Presentations in Math-Net.Ru

1.	Equation with a lower negative time number in the Davey-Stewartson hierarchy A. K. Pogrebkov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS February 26, 2025 14:00
2.	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
3.	Quantum effects in classical dynamics A. K. Pogrebkov Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev May 31, 2024 15:00
4.	Странные системы интегрируемых уравнений A. K. Pogrebkov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS November 9, 2022 13:00
5.	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
6.	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
7.	Opening A. K. Pogrebkov International conference in memory of M. K. Polivanov "Polivanov–90" December 16, 2020 10:00
8.	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
9.	Hirota Difference Equation and Darboux System: Mutual Symmetry A. K. Pogrebkov Complex analysis and mathematical physics March 17, 2020 16:00
10.	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
11.	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
12.	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
13.	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
14.	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
15.	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
16.	Индуцированная динамика A. K. Pogrebkov Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS January 30, 2019 14:00
17.	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
18.	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
19.	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
20.	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
21.	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
22.	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
23.	KPII: inverse scattering problem on the solitonic background A. K. Pogrebkov International conference "Geometrical Methods in Mathematical Physics" December 15, 2011 16:00
24.	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
25.	Integrability in (2+1) dimensions: recent methods and results A. K. Pogrebkov Steklov Mathematical Institute Seminar November 18, 2010 16:00
26.	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
27.	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
28.	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
29.	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
30.	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
31.	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
32.	Greeting A. K. Pogrebkov Festive meeting for the 100th birthday of Academician Sergei Mikhailovich Nikol'skii April 30, 2005

Books in Math-Net.Ru

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

Organisations

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Information matherials

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Miscellaneous