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Nonexplicit versions of integrable equations

Theoretical and mathematical physics, 2023-12, Vol.217 (3), p.1907-1913

Pogrebkov, A. K.

2023

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Multiplicative dynamical systems in terms of the induced dynamics

Theoretical and mathematical physics, 2020-09, Vol.204 (3), p.1201-1208

Pogrebkov, A. K.

2020

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Induced Dynamics

Journal of nonlinear mathematical physics, 2020-04, Vol.27 (2), p.324-336

Pogrebkov, A. K.

2020

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Higher Hirota Difference Equations and Their Reductions

Theoretical and mathematical physics, 2018-12, Vol.197 (3), p.1779-1796

Pogrebkov, A. K.

2018

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KPII: Cauchy–Jost function, Darboux transformations and totally nonnegative matrices

Journal of physics. A, Mathematical and theoretical, 2017-07, Vol.50 (30), p.304001

2017

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Darboux System: Liouville Reduction and an Explicit Solution

Proceedings of the Steklov Institute of Mathematics, 2018-08, Vol.302 (1), p.250-269

2018

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Darboux System as Three-Dimensional Analog of Liouville Equation

Russian mathematics, 2018-12, Vol.62 (12), p.50-58

2018

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Inverse scattering transform for the KPI equation on the background of a one-line soliton

Nonlinearity, 2003-03, Vol.16 (2), p.771-783

2003

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Towards an inverse scattering theory for non-decaying potentials of the heat equation

Inverse problems, 2001-08, Vol.17 (4), p.937-957

2001

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Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions

Journal of mathematical physics, 2011-08, Vol.52 (8), p.083506-083506-22

2011

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Hirota difference equation and a commutator identity on an associative algebra

St. Petersburg mathematical journal, 2011-06, Vol.22 (3), p.473-473

Pogrebkov, A. K.

2011

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Commutator identities and integrable hierarchies

Theoretical and mathematical physics, 2020-12, Vol.205 (3), p.1585-1592

Pogrebkov, A. K.

2020

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Boson-fermion correspondence and quantum integrable and dispersionless models

Russian mathematical surveys, 2003-10, Vol.58 (5), p.1003-1037

Pogrebkov, A K

2003

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Commutator identities on associative algebras, the non-Abelian Hirota difference equation and its reductions

Theoretical and mathematical physics, 2016-06, Vol.187 (3), p.823-834

Pogrebkov, A. K.

2016

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KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matricesTo the memory of our friend and colleague Peter P Kulish

Journal of physics. A, Mathematical and theoretical, 2017-06, Vol.50 (30)

2017

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Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed N -soliton potential

Journal of mathematical physics, 2006-12, Vol.47 (12), p.123510-123510-43

2006

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Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential

Theoretical and mathematical physics, 2005-08, Vol.144 (2), p.1100-1116

2005

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Hirota difference equation: Inverse scattering transform, darboux transformation, and solitons

Theoretical and mathematical physics, 2014-12, Vol.181 (3), p.1585-1598

Pogrebkov, A. K.

2014

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Cauchy–Jost function and hierarchy of integrable equations

Theoretical and mathematical physics, 2015-11, Vol.185 (2), p.1599-1613

2015

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Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation

Physica. D, 1989-06, Vol.36 (1), p.189-197

1989

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Extended resolvent and inverse scattering with an application to KPI

Journal of mathematical physics, 2003-08, Vol.44 (8), p.3309-3340

2003

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On the formulation of the Painleve test as a criterion of complete integrability of partial differential equations

Inverse problems, 1989-02, Vol.5 (1), p.L7-L10

Pogrebkov, A K

1989

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Inverse scattering theory of the heat equation for a perturbed one-soliton potential

Journal of mathematical physics, 2002-02, Vol.43 (2), p.1044-1062

2002

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New features of Backlund and Darboux transformations in 2 + 1 dimensions

Inverse problems, 1991-02, Vol.7 (1), p.43-56

1991

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Resolvent approach for the nonstationary Schrodinger equation

Inverse problems, 1992-06, Vol.8 (3), p.331-364

1992

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Nonexplicit versions of integrable equations

Multiplicative dynamical systems in terms of the induced dynamics

Induced Dynamics

Higher Hirota Difference Equations and Their Reductions

KPII: Cauchy–Jost function, Darboux transformations and totally nonnegative matrices

Darboux System: Liouville Reduction and an Explicit Solution

Darboux System as Three-Dimensional Analog of Liouville Equation

Inverse scattering transform for the KPI equation on the background of a one-line soliton

Towards an inverse scattering theory for non-decaying potentials of the heat equation

Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions

Hirota difference equation and a commutator identity on an associative algebra

Commutator identities and integrable hierarchies

Boson-fermion correspondence and quantum integrable and dispersionless models

Commutator identities on associative algebras, the non-Abelian Hirota difference equation and its reductions

KPII: Cauchy-Jost function, Darboux transformations and totally nonnegative matricesTo the memory of our friend and colleague Peter P Kulish

Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed N -soliton potential

Spectral theory of the nonstationary Schrödinger equation with a two-dimensionally perturbed arbitrary one-dimensional potential

Hirota difference equation: Inverse scattering transform, darboux transformation, and solitons

Cauchy–Jost function and hierarchy of integrable equations

Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation

Extended resolvent and inverse scattering with an application to KPI

On the formulation of the Painleve test as a criterion of complete integrability of partial differential equations

Inverse scattering theory of the heat equation for a perturbed one-soliton potential

New features of Backlund and Darboux transformations in 2 + 1 dimensions

Resolvent approach for the nonstationary Schrodinger equation

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