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A. N. Leznov - MaRDI portal

A. N. Leznov

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Person:238198

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zbMath Open leznov.a-nMaRDI QIDQ238198

List of research outcomes

PublicationDate of PublicationType
Monge equation of arbitrary degree in 1 + 1 space2013-01-31Paper
Series solution of the 1+2 continuous Toda Chain2011-03-23Paper
Theory of group representations and integration of nonlinear systems \(x_{a, z\overline{z}}=\exp(kx)_{a}\)2010-09-13Paper
The new look on the theory of integrable systems2010-09-11Paper
To the question of the integration of Plebansky Equation2009-03-25Paper
Resolving of discrete transformation chains and multisoliton solution of the 3-wave problem2009-02-26Paper
Kepler problem in deformed (quantum) four-dimensional space in non relativistic limit with Galilei group of motion2007-08-04Paper
Multisoliton solutions of 3,4,6 waves problems connectet with semisimlealgebras of the second rank $A_3,B_2=C_2,G_2$2007-03-21Paper
Equations of 3-th waves hierarchy2007-03-20Paper
Inner automorphisms, discrete and Bäcklund transformations of integrable systems2006-10-04Paper
Discrete symmetries of the \(n\)-wave problem2005-08-17Paper
Discrete and Backlund (!) transformations of SDYM system2005-04-01Paper
$\sigma_1$ and $\sigma_2$ automorphism of the systems of equations of integrable hierarchies. Discrete and Backlund transformations2005-03-16Paper
The Gelfand–Zeitlin selection rules and representations of quantum Anq algebras2004-12-14Paper
Discrete transformation for the matrix three-wave problem in three dimensional space2004-12-14Paper
Relativistically invariant Lie algebras for kinematic observables in quantum space-time2004-11-16Paper
Ortogonal rotation in theory of finite-dimensional representations of quantum semisimple algebras. The case of $A_2$ algebra2004-07-27Paper
Fine Structure of the Discrete Transformation for Multicomponent Integrable Systems2004-01-29Paper
Some integrable models in quantized spaces2002-09-10Paper
Einstein's vacuum fields with nonAbelian group of motion G 2 II2002-08-21Paper
Integrable mappings for noncommutative objects2002-07-22Paper
Invariant form of the generators of semisimple Lie algebras and quantum algebras in an arbitrary finite-dimensional representation2002-06-03Paper
https://portal.mardi4nfdi.de/entity/Q27384292002-04-09Paper
Integrable two-dimensional ultra-Toda mappings and chains2002-04-07Paper
The complex Bateman equation in a space of arbitrary dimension2002-02-26Paper
To the Gel’fand–Tsetlin realization of irreducible representations of classical semisimple algebras2002-02-26Paper
https://portal.mardi4nfdi.de/entity/Q27517772001-10-21Paper
UV Manifold and Integrable Systems in Spaces of Arbitrary Dimension2001-04-17Paper
Integrable mappings and hierarchies in the \((2|2)\) superspace2001-03-08Paper
The general solution of the homogeneous complex Monge-Ampère equation in a space of arbitrary dimension2000-12-13Paper
Graded Lie algebras, representation theory, integrable mappings and integrable systems2000-11-23Paper
Spherically symmetrical configurations of self-dual Yang-Mills and Einstein-Plebanski equations2000-10-18Paper
General Solution of the Universal Equation in n-Dimensional Space2000-08-23Paper
Geometrical symmetries of the Universal equation2000-08-23Paper
Discrete Symmetry and Its Use to Find Multi-Soliton Solutions of the Equations of Anisotropic Heisenberg Ferromagnets2000-08-23Paper
Exactly Integrable Systems Connected to Semisimple Algebras of Second Rank A2, B2, C2, G22000-08-15Paper
A Discourse on the Benney Equation2000-08-05Paper
Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case2000-07-12Paper
The solution of the \(N=(0|2)\) superconformal \(f\)-Toda lattice2000-07-11Paper
Fine structure of matrix Darboux-Toda integrable mapping2000-03-08Paper
Infinite series solutions of the symmetry equation for the \((1+2)\)-dimensional continuous Toda chain.2000-03-07Paper
The integrable mapping as the discrete group of inner symmetry of integrable systems2000-02-08Paper
A new approach to the representation theory of semisimple Lie algebras and quantum algebras2000-01-01Paper
Integrable systems in spaces of arbitrary dimension1999-08-10Paper
The connection of Monge-Bateman equations with ordinary differential equations and their generalisation1999-08-10Paper
Representation of the quantum algebra $SU_q(2)$ in the basis with diagonal $"J_x"$ generator1999-08-10Paper
https://portal.mardi4nfdi.de/entity/Q42335541999-03-16Paper
The complex Bateman equation1999-01-01Paper
On the integrability of pure Skyrme models in two dimensions1998-12-10Paper
The exactly integrable systems connected with semisimple algebras of the second rank $A_2,B_2,C_2,G_2$1998-09-11Paper
Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation1997-06-18Paper
Integrable mappings and hierarchies in the (\(2| 2\)) superspace1997-06-10Paper
Generalization of the Toda chain system to the elliptic curve case1996-03-11Paper
On the solutions of the anisotropic Heisenberg equation1996-02-12Paper
The general solution of two-dimensional matrix Toda chain equation with fixed ends1995-11-29Paper
General solutions of the Monge-Ampère equation in \(n\)-dimensional space1995-08-03Paper
Hamiltonian properties of the canonical symmetry1995-05-03Paper
The canonical symmetry for integrable systems1994-08-09Paper
Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of \(A_ 1\) solutions1994-04-19Paper
Exact solutions of the vacuum Einstein’s equations allowing for two noncommutative killing vectors (Type G2II of Petrov classification)1993-05-16Paper
The problem of the principal chiral field with the parameters depending on free arguments and its integration1993-01-16Paper
https://portal.mardi4nfdi.de/entity/Q40039601992-09-18Paper
Exactly and completely integrable nonlinear dynamical systems1989-01-01Paper
Nonlinear equations and graded Lie algebras1987-01-01Paper
Deformation of algebras and solution of self-duality equation1987-01-01Paper
https://portal.mardi4nfdi.de/entity/Q34695661986-01-01Paper
Symmetries and soliton solutions of nonlinear equations1985-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38197321985-01-01Paper
The inverse scattering method in an invariant form with respect to internal symmetry algebra representations1984-01-01Paper
An algebraic approach to soliton solutions1984-01-01Paper
Bargman's generalized potentials and soliton solutions of equations of Toda periodic lattice of the series \(A_ k\)1984-01-01Paper
Generalized Bargmann potentials1984-01-01Paper
Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra osp(1,2) in Lie superalgebras1984-01-01Paper
Ordinary second-order differential equations and soliton solutions connected with the algebra sl(2,\({\mathbb{C}})\)1984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q32170341984-01-01Paper
https://portal.mardi4nfdi.de/entity/Q36816111984-01-01Paper
Two-dimensional exactly and completely integrable dynamical systems1983-01-01Paper
Two-dimensional nonlinear equations of string type and their complete integration1983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q36672501983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37233601983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37338391983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q37338591983-01-01Paper
Two-dimensional nonlinear string-type equations and their exact integration1982-01-01Paper
Theory of group representations and integration of nonlinear dynamical systems1982-01-01Paper
The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems1982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33378171982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q36871191982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47410631982-01-01Paper
Two-dimensional nonlinear system of differential equations x//alpha,//\(z_ z-\)=exp(kx)//alpha1981-01-01Paper
Graded algebras of the second rank and integration of nonlinear equations \(Y_{zz}=\exp(2Y)-\exp(-2Y)\), \(Y_{zz}=2\exp(Y)-\exp(-2Y)\)1981-01-01Paper
General solutions of the two-dimensional system of Volterra equations which realize the Bäcklund transformation for the Toda lattice1981-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39019091981-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39576691981-01-01Paper
Representation theory and integration of nonlinear spherically symmetric equations to gauge theories1980-01-01Paper
On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space1980-01-01Paper
Explicit solutions to two-dimensionalized Volterra equations1980-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38617971980-01-01Paper
https://portal.mardi4nfdi.de/entity/Q38844921980-01-01Paper
Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability1979-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41290161977-01-01Paper
A parametrization of compact groups1974-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56341771971-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56529171971-01-01Paper
https://portal.mardi4nfdi.de/entity/Q56028831970-01-01Paper

Research outcomes over time


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