A NON-COMMUTATIVE SEMI-DISCRETE TODA EQUATION AND ITS QUASI-DETERMINANT SOLUTIONS-Reference-Cited by-同舟云学术

A NON-COMMUTATIVE SEMI-DISCRETE TODA EQUATION AND ITS QUASI-DETERMINANT SOLUTIONS

Published:2009-02 Issue:A Volume:51 Page:121-127
ISSN:0017-0895
Container-title:Glasgow Mathematical Journal
language:en
Short-container-title:Glasgow Math. J.

Author:

LI C. X.,NIMMO J. J. C.

Abstract

AbstractA non-commutative version of the semi-discrete Toda equation is considered. A Lax pair and its Darboux transformations and binary Darboux transformations are found and they are used to construct two families of quasi-determinant solutions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference24 articles.

1. Construction of soliton cellular automaton from the vertex model - the discrete 2D Toda equation and the Bogoyavlensky lattice

2. 18. Paniak L. D. , Exact noncommutative KP and KdV multi-solitons, arXiv:hep-th/0105185 (2001).

3. Exact Multi-line Soliton Solutions of Noncommutative KP Equation

4. Quasideterminants

5. Determinants of matrices over noncommutative rings;Gelfand;Funct. Anal. Prilozhen.,1991

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