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Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems

1, 1992

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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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Exactly Integrable Systems Connected to Semisimple Algebras of Second Rank A 2, B 2, C 2, G 2

Journal of nonlinear mathematical physics, 1999-01, Vol.6 (2), p.181-197

Leznov, A.N.

1999

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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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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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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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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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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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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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Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems

Journal of nonlinear mathematical physics, 2003, Vol.10 (2), p.243-251

2003

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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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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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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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On the integrability of pure Skyrme models in two dimensions

Journal of mathematical physics, 1997-06, Vol.38 (6), p.3007-3011

1997

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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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Infinite series solutions of the symmetry equation for the 1 + 2 dimensional continuous Toda chain

Physics letters. A, 1996-10, Vol.221 (5), p.306-310

1996

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Integrable mappings for noncommutative objects

Reports on mathematical physics, 1999-02, Vol.43 (1-2), p.207-214

1999

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General Solution of the Universal Equation in n-Dimensional Space

Journal of nonlinear mathematical physics, 1994-01, Vol.1 (4), p.333-339

1994

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Discrete Symmetry and Its Use to Find Multi-Soliton Solutions of the Equations of Anisotropic Heisenberg Ferromagnets

Journal of nonlinear mathematical physics, 1996-01, Vol.3 (3-4), p.319-329

1996

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Theory of group representations and integration of nonlinear systems x a, z [formula omitted]=exp(kx) a

Physica. D, 1981, Vol.3 (1), p.62-72

1981

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Cylindrically symmetric instantons for the gauge groups of rank 2 (SU(3), O(5) and G 2)

Physics letters. B, 1979, Vol.83 (3), p.314-316

1979

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Theory of group representations and integration of nonlinear systems xa, zz=exp(kx)a

Physica. D, 1981-07, Vol.3 (1-2), p.62-72

1981

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Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems

Some integrable models in quantized spaces

Exactly Integrable Systems Connected to Semisimple Algebras of Second Rank A 2, B 2, C 2, G 2

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

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

The new look on the theory of integrable systems

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

UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension

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

Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems

Canonical transformations generated by shifts in nonlinear lattices

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

Fine structure of matrix Darboux-Toda integrable mapping

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

On the integrability of pure Skyrme models in two dimensions

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

Infinite series solutions of the symmetry equation for the 1 + 2 dimensional continuous Toda chain

Integrable mappings for noncommutative objects

General Solution of the Universal Equation in n-Dimensional Space

Discrete Symmetry and Its Use to Find Multi-Soliton Solutions of the Equations of Anisotropic Heisenberg Ferromagnets

Theory of group representations and integration of nonlinear systems x a, z [formula omitted]=exp(kx) a

Cylindrically symmetric instantons for the gauge groups of rank 2 (SU(3), O(5) and G 2)

Theory of group representations and integration of nonlinear systems xa, zz=exp(kx)a

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