A. Leznov

发表

On the integrability of pure Skyrme models in two dimensions

W. Zakrzewski, A. Leznov, B. Piette, 1997 .

On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space

A. Leznov, 1980 .

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

A. Leznov, 1999, math-ph/9903031.

The Relativistic invariant Lie algebra for the kinematical observables in quantum space-time

A. Leznov, V. V. Khruschev, 2002 .

Classical dynamics in deformed spaces

J. Mostovoy, A. Leznov, 2002, hep-th/0208152.

Unitary representations of the conformal group

A. Leznov, I. Fedoseev, 1970 .

Representation of noncompact groups U(p, q). I

A. Leznov, M. V. Savel’ev, 1970 .

The canonical symmetry for integrable systems

A. Leznov, A. Razumov, 1993, hep-th/9307161.

Group-Theoretical Methods for Integration of Nonlinear Dynamical Systems

A. Leznov, M. Saveliev, 1992 .

General solutions of the two-dimensional system of Volterra equations which realize the Bäcklund transformation for the Toda lattice

V. G. Smirnov, A. Leznov, M. V. Savel’ev, 1981 .

Explicit solutions to two-dimensionalized Volterra equations

V. G. Smirnov, A. Leznov, M. Saveliev, 1980 .

Nonlinear equations and graded Lie algebras

A. Leznov, M. V. Savel’ev, 1987 .

Representation theory and integration of nonlinear spherically symmetric equations to gauge theories

A. Leznov, M. Saveliev, 1980 .

Cylindrically symmetric instantons for the gauge groups of rank 2 (SU(3), O(5) and G2)

A. Leznov, M. Saveliev, 1979 .

Spherically Symmetric Equations in Gauge Theories for an Arbitrary Semisimple Compact Lie Group

A. Leznov, M. Saveliev, 1978 .

Cylindrical configuration of classical Yang-Mills fields and its symmetrical properties

A. Leznov, M. Saveliev, 1978 .

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

A. Leznov, 2000 .

Two-dimensional exactly and completely integrable dynamical systems

A. Leznov, M. Saveliev, 1983 .

Two-dimensional nonlinear string-type equations and their exact integration

A. Leznov, M. Saveliev, 1982 .

Representation of zero curvature for the system of nonlinear partial differential equations $$x_{\alpha ,z\bar z} = \exp (kx)_\alpha $$ and its integrability

A. Leznov, M. Saveliev, 1979 .

Exact monopole solutions in gauge theories for an arbitrary semisimple compact group

A. Leznov, M. Saveliev, 1979 .

An algebraic approach to soliton solutions

V. Man'ko, A. Leznov, S. Chumakov, 1984 .

Canonical transformations generated by shifts in nonlinear lattices

A. Leznov, A. Shabat, R. Yamilov, 1993 .

The translationally non-invariant quantization of a generalized toda lattice

A. Leznov, I. Fedoseev, 1984 .

Explicitly integrable models of quantum field theory with exponential interaction in two-dimensional space

A. Leznov, I. Fedoseev, 1982 .

Internal symmetry algebra of exactly integrable dynamical systems in the quantum domain

A. Leznov, M. A. Mukhtarov, 1987 .

Two-dimensional nonlinear equations of string type and their complete integration

A. Leznov, M. V. Savel’ev, 1983 .

Simplest soliton solutions of the equations of the periodic toda chain of the series Ak in the formalism of the scalar L-A pair

A. Leznov, 1987 .

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

A. Leznov, A. Sorin, V. Derjagin, 1998, solv-int/9803010.

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

A. Leznov, A. Sorin, 1997, solv-int/9701019.

Two-dimensional Superintegrable Mappings and Integrable Hierarchies in the $(2|2)$ Superspace

A. Leznov, A. Sorin, 1996, hep-th/9608166.

Integrable mappings and hierarchies in the (2|2) superspace

A. Leznov, A. Sorin, 1997 .

N=2 Superintegrable f-Toda Mapping and Super-NLS Hierarchy in the (1|2) Superspace

A. Leznov, A. Sorin, V. Derjagin, 1996, hep-th/9611108.

The new look on the theory of integrable systems

A. Leznov, 1995 .

Hamiltonian properties of the canonical symmetry

A. Leznov, A. Razumov, 1994 .

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

D. Fairlie, A. Leznov, 1993, hep-th/9305050.

Fine structure of matrix Darboux-Toda integrable mapping

E. Yuzbashyan, A. Leznov, 1997, hep-th/9709007.

Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra osp(1,2) in lie superalgebras

A. Leznov, M. V. Savel’ev, 1984 .

The exactly integrable systems connected with semisimple algebras of the second rank $A_2,B_2,C_2,G_2$

A. Leznov, 1998, math-ph/9904041.

Two-dimensional Ultra-Toda integrable mappings and chains (Abelian case)

A. Leznov, 1997, hep-th/9703025.

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

E. Yuzbashyan, A. Leznov, 1996, hep-th/9612107.

The general solution of two-dimensional matrix Toda chain equations with fixed ends

A. Leznov, E. A. Yuzbashjan, 1995 .

Graded algebras of the second rank and integration of nonlinear equations Yzz=exp (2Y)−2Y, Yzz=2 exp (Y)−exp (−2Y)

V. G. Smirnov, A. Leznov, 1981 .

Exactly and completely integrable nonlinear dynamical systems

A. Leznov, M. Saveliev, 1989 .

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

D. Fairlie, A. Leznov, D. B. Fairlie, 1994, hep-th/9403134.

Generalization of the Toda chain system to the elliptic curve case

W. Zakrzewski, A. Leznov, N. Belov, 1996 .

One-dimensional exactly integrable dynamical systems (classical and quantum regions)

A. Leznov, M. Saveliev, I. Fedoseev, 1983 .

Theory of group representations and integration of nonlinear dynamical systems

V. G. Smirnov, A. Leznov, M. V. Savel’ev, 1981 .

Bäcklund Transformation for Supersymmetric Self-Dual Theories for Semisimple Gauge Groups and a Hierarchy of Ai Solutions

A. Leznov, C. Devchand, 1993, hep-th/9301098.

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

W. Zakrzewski, A. Leznov, N. Belov, 1996 .

On the solutions of the anisotropic Heisenberg equation

W. Zakrzewski, A. Leznov, N. Belov, 1994 .

Solutions of classical gause field theory equations with an arbitrary value of the topological charge

A. Leznov, M. V. Savel’ev, Y. M. Zinov’ev, 1977 .

Equivalence of four-dimensional self-duality equations and the continuum analog of the principal chiral field problem

A. Leznov, 1987 .

Discrete Symmetries of the n-Wave Problem

A. Leznov, 2002 .

The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems

V. G. Smirnov, A. Leznov, A. Shabat, 1982 .

Deformation of algebras and solution of self‐duality equation

A. Leznov, M. A. Mukhtarov, 1987 .

Symmetries and soliton solutions of nonlinear equations

V. Man'ko, A. Leznov, S. Chumakov, 1985 .

The inverse scattering method in a form invariant with respect to representations of the internal symmetry algebra

A. Leznov, 1984 .

Canonical Transformations and the Theory of Representations of Lie Groups

I. Malkin, V. Man'ko, A. Leznov, 1979 .

Integrable mappings for noncommutative objects

E. Yuzbashyan, A. Leznov, 1996, hep-th/9609024.

Characters of the irreducible representations of the pseudounitary group U(p, q). II

A. Leznov, M. V. Savel’ev, 1970 .