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

作者:Li C X; Nimmo J J C
来源:Glasgow Mathematical Journal, 2009, 51A(A): 121-127.
DOI:10.1017/S0017089508004837

摘要

A 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.