Lie algebras and equations of Korteweg-de Vries type
type: Item
instance of: scholarly article
title: Lie algebras and equations of Korteweg-de Vries type
zbMATH Open document ID: 0578.58040
DOI: 10.1007/BF02105860
published in: Journal of Soviet Mathematics
publication date: 1985-01-01T00:00:00Z
Mathematics Subject Classification ID: 37L05
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K30
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 37K15
zbMATH DE Number: 3925855
zbMATH Keywords: Korteweg-de Vries type equation
zbMATH Keywords: integrable evolution equations
zbMATH Keywords: Kac-Moody algebras
zbMATH Keywords: inverse scattering transform
zbMATH Keywords: local
zbMATH Keywords: conservation laws
zbMATH Keywords: symmetries
zbMATH Keywords: Hamiltonian formalism
zbMATH Keywords: Lax equation
zbMATH Keywords: Toda lattice equations
author: Vladimir Drinfeld
author: V. V. Sokolov
MaRDI profile type: Publication
cites work: Self-adjointness of elliptic operators with infinitely many variables
cites work: The complex exponent of a singularity does not change along strata mu=const
cites work: Q3732103
cites work: E-compact extensions of topological spaces
cites work: Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane
cites work: Q5848416
cites work: Q4115506
cites work: On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space
cites work: Theory of group representations and integration of nonlinear dynamical systems
cites work: Example of a completely integrable nonlinear wave field with nontrivial dynamics (Lee model)
cites work: Statistics of integral convex polygons
cites work: Q4165660
cites work: On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
cites work: Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
cites work: Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
cites work: The prolongation structure of a higher order Korteweg-de Vries equation
cites work: The Toda lattice. II. Existence of integrals
cites work: On the Toda Lattice. II: Inverse-Scattering Solution
cites work: Factorization of operators I. Miura transformations
cites work: Integrable nonlinear Klein-Gordon equations and Toda lattices
cites work: Basic representations of affine Lie algebras and dual resonance models
cites work: Infinite-dimensional algebras, Dedekind's \(\eta\)-function, classical Möbius function and the very strange formula
cites work: The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
cites work: Conservation laws and symmetries of generalized sine-Gordon equations
cites work: Modifying Lax equations and the second Hamiltonian structure
cites work: Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
cites work: A simple model of the integrable Hamiltonian equation
cites work: Two-dimensional generalized Toda lattice
cites work: MacDonald Identities and Euclidean Lie Algebras
cites work: Commuting flows and conservation laws for Lax equations
cites work: ON TWO CONSTRUCTIONS OF CONSERVATION LAWS FOR LAX EQUATIONS
cites work: The modified Lax and two-dimensional Toda lattice equations associated with simple Lie algebras
description: scientific article; zbMATH DE number 3925855