Nonlinear equations and graded Lie algebras (Q1088225)

scientific article; zbMATH DE number 3990439

Language	Label	Description	Also known as
English	Nonlinear equations and graded Lie algebras	scientific article; zbMATH DE number 3990439

Statements

instance of

scholarly article

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title

Nonlinear equations and graded Lie algebras (English)

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Journal of Soviet Mathematics

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publication date

1987

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review text

Translation from Itogi Nauki Tekh., Ser. Mat. Anal. 22, 101-136 (Russian) (1984; Zbl 0566.58020).

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zbMATH Keywords

integrable nonlinear equations

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superalgebras

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Kac-Moody algebras

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soliton-type solutions

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Lax operators

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Charge renormalization group in quantum field theory

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Q4090743

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Q3732103

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A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I

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

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

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Generalized Bargmann potentials

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

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

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Theory of group representations and integration of nonlinear dynamical systems

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

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Algebraic aspects of nonlinear differential equations

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Q3943693

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Inverse problem of quantum scattering theory. II

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Algebraic aspects of two-dimensional chiral fields. II

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Nonlinear-evolution equations of physical significance

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Q3958854

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Linearization of Hamiltonian systems, Jacobi varieties and representation theory

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General solutions of nonlinear equations in the geometric theory of the relativistic string

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On the Connection between Phase Shifts and Scattering Potential

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Two-Dimensional Integrable Models in Quantum Field Theory

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One-dimensional Toda molecule. I: General solution.

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Q3733839

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The Toda lattice. II. Existence of integrals

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Integrable nonlinear Klein-Gordon equations and Toda lattices

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Q3265911

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Basic representations of affine Lie algebras and dual resonance models

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Method for Solving the Korteweg-deVries Equation

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Classical and quantum-mechanical systems of Toda lattice type. I

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Integrals of the Toda lattice

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On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices

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The solution to a generalized Toda lattice and representation theory

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Integrals of nonlinear equations of evolution and solitary waves

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Bargman's generalized potentials and soliton solutions of equations of Toda periodic lattice of the series \(A_ k\)

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

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Theory of group representations and integration of nonlinear systems \(x_{a, z\overline{z}}=\exp(kx)_{a}\)

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Two-dimensional exactly and completely integrable dynamical systems

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

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Unified approach to strings and vortices with soliton solutions

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On the Solution of the Finite Element Equations for Nonlinear Shell Analysis

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Q3752983

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The reduction problem and the inverse scattering method

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Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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Euclidean Lie Algebras

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A new class of Lie algebras

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Three integrable Hamiltonian systems connected with isospectral deformations

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Supersymmetric two-dimensional Toda lattice

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Integrable graded manifolds and nonlinear equations

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On symmetric gauge fields

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A higher dimension generalization of the Sine-Gordon equation and its soliton theory

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A canonical transformation for the exponential lattice

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Wave propagation in nonlinear lattice. I

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The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras

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Identifiers

zbMATH Open document ID

0612.58019

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DOI

10.1007/BF01085505

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1088225