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Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems

1, 1989

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UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension

Journal of nonlinear mathematical physics, 2001, Vol.8 (1), p.1-7

Leznov, A.N.

2001

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Some integrable models in quantized spaces

Nuclear physics. B, 2002-09, Vol.640 (3), p.469-480

Leznov, A.N.

2002

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General solutions of the Monge-Ampère equation in n-dimensional space

Journal of geometry and physics, 1995-07, Vol.16 (4), p.385-390

1995

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Resolving of discrete transformation chains and multisoliton solution of the 3-wave problem

Journal of nonlinear mathematical physics, 2007, Vol.14 (2), p.238-249

2007

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To the Gel’fand–Tsetlin realization of irreducible representations of classical semisimple algebras

Journal of mathematical physics, 2001-03, Vol.42 (3), p.1384-1396

Leznov, A. N.

2001

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Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case

Nuclear physics. B, 1999-03, Vol.543 (3), p.652-672

Leznov, A.N.

1999

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Graded Lie algebras, representation theory, integrable mappings, and integrable systems

Theoretical and mathematical physics, 2000-02, Vol.122 (2), p.211-228

Leznov, A. N.

2000

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Discrete transformation for the matrix three-wave problem in three dimensional space

Journal of mathematical physics, 2003-05, Vol.44 (5), p.2342-2352

2003

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Two-dimensional exactly and completely integrable dynamical systems: Monopoles, instantons, dual models, relativistic strings, lund-regge model, generalized toda lattice, etc

Communications in mathematical physics, 1983-03, Vol.89 (1), p.59-75

1983

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Deformation of algebras and solution of self‐duality equation

Journal of mathematical physics, 1987-11, Vol.28 (11), p.2574-2578

1987

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A new approach to the representation theory of semisimple Lie algebras and quantum algebras

Theoretical and mathematical physics, 2000-05, Vol.123 (2), p.633-650

Leznov, A. N.

2000

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Exactly Integrable Systems Connected to Semisimple Algebras of Second Rank A2, B2, C2, G2

Journal of nonlinear mathematical physics, 1999, Vol.6 (2), p.181-197

Leznov, A.N.

1999

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The new look on the theory of integrable systems

Physica. D, 1995-10, Vol.87 (1), p.48-51

Leznov, A.N.

1995

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The complex Bateman equation in a space of arbitrary dimension

Journal of mathematical physics, 2001-01, Vol.42 (1), p.453-462

2001

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Two-dimensional superintegrable mappings and integrable hierarchies in the (2|2) superspace

Physics letters. B, 1996-12, Vol.389 (3), p.494-502

1996

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The solution of the N = 2 supersymmetric f-Toda chain with fixed ends

Physics letters. B, 1997-06, Vol.402 (1), p.87-100

1997

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The solution of the N = (0|2) superconformal f-Toda lattice

Nuclear physics. B, 1998-09, Vol.527 (3), p.643-656

1998

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Integrable two-dimensional Ultra-Toda mappings and chains

Theoretical and mathematical physics, 1998-10, Vol.117 (1), p.1194-1207

Leznov, A. N.

1998

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Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation

Nuclear physics. B, 1997-07, Vol.496 (3), p.643-653

1997

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Generalized Bargmann potentials

Letters in mathematical physics, 1984-09, Vol.8 (5), p.379-385

LEZNOV, A. N

1984

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Canonical transformations generated by shifts in nonlinear lattices

Physics letters. A, 1993-03, Vol.174 (5), p.397-402

1993

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The inverse scattering method in an invariant form with respect to internal symmetry algebra representations

Letters in mathematical physics, 1984-09, Vol.8 (5), p.353-358

LEZNOV, A. N

1984

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Fine structure of matrix Darboux-Toda integrable mapping

Physics letters. A, 1998-05, Vol.242 (1), p.31-35

1998

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The integrable mapping as the discrete group of inner symmetry of integrable systems

Physics letters. A, 1995-04, Vol.199 (5), p.360-364

1995

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Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems

UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension

Some integrable models in quantized spaces

General solutions of the Monge-Ampère equation in n-dimensional space

Resolving of discrete transformation chains and multisoliton solution of the 3-wave problem

To the Gel’fand–Tsetlin realization of irreducible representations of classical semisimple algebras

Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case

Graded Lie algebras, representation theory, integrable mappings, and integrable systems

Discrete transformation for the matrix three-wave problem in three dimensional space

Two-dimensional exactly and completely integrable dynamical systems: Monopoles, instantons, dual models, relativistic strings, lund-regge model, generalized toda lattice, etc

Deformation of algebras and solution of self‐duality equation

A new approach to the representation theory of semisimple Lie algebras and quantum algebras

Exactly Integrable Systems Connected to Semisimple Algebras of Second Rank A2, B2, C2, G2

The new look on the theory of integrable systems

The complex Bateman equation in a space of arbitrary dimension

Two-dimensional superintegrable mappings and integrable hierarchies in the (2|2) superspace

The solution of the N = 2 supersymmetric f-Toda chain with fixed ends

The solution of the N = (0|2) superconformal f-Toda lattice

Integrable two-dimensional Ultra-Toda mappings and chains

Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation

Generalized Bargmann potentials

Canonical transformations generated by shifts in nonlinear lattices

The inverse scattering method in an invariant form with respect to internal symmetry algebra representations

Fine structure of matrix Darboux-Toda integrable mapping

The integrable mapping as the discrete group of inner symmetry of integrable systems

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