An algebraic approach to soliton solutions
type: Item
instance of: scholarly article
title: An algebraic approach to soliton solutions
zbMATH Open document ID: 0573.34027
DOI: 10.1007/BF00418117
author: A. N. Leznov
author: Sergey M. Chumakov
author: V. I. Man'ko
published in: Letters in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The paper contains an explicit expression for the soliton solution of the equation (*) \(U'-\dot V+[U,V]=0\) in the case of dependence of matrices U and V on the spectral parameter \(\lambda\). Here the equation (*) expresses the self-consistency conditions for a linear system connected with the algebra \(sl(2,R)\). Illustrative examples are included.
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 3914762
zbMATH Keywords: scattering method
zbMATH Keywords: soliton solution
zbMATH Keywords: spectral parameter
zbMATH Keywords: examples
MaRDI profile type: Publication
cites work: Method for Solving the Korteweg-deVries Equation
cites work: Integrals of nonlinear equations of evolution and solitary waves
cites work: Ordinary second-order differential equations and soliton solutions connected with the algebra sl(2,\({\mathbb{C}})\)
description: scientific article; zbMATH DE number 3914762