A remark on the connection between affine Lie algebras and soliton equations
type: Item
instance of: scholarly article
title: A remark on the connection between affine Lie algebras and soliton equations
zbMATH Open document ID: 0661.35074
DOI: 10.1007/BF00402019
author: E. Date
published in: Letters in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: Starting from the wavefunctions and \(\tau\)-functions for KdV-type equations (i.e. the Fock repesentation of Clifford algebras), the corresponding linear equations are derived. Only equations related to \(A_ n^{(1)}\), \(D^{(2)}_{b+1}\) and \(D_ n^{(1)}\) are treated explicitly. It is noted that the corresponding Lax equations agree with those introduced by Drinfeld and Sokolov.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 4080052
zbMATH Keywords: wavefunctions
zbMATH Keywords: \(\tau\)-functions
zbMATH Keywords: KdV-type
zbMATH Keywords: Fock repesentation
zbMATH Keywords: Clifford algebras
zbMATH Keywords: Lax equations
MaRDI profile type: Publication
cites work: Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
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cites work: Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
cites work: Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V
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description: scientific article; zbMATH DE number 4080052