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

Published online by Cambridge University Press:  01 February 2009

C. X. LI  and
J. J. C. NIMMO
C. X. LI
Affiliation:
School of Mathematical Sciences, Capital Normal University, Beijing 100048, China e-mail: trisha_li2001@yahoo.com
J. J. C. NIMMO
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK e-mail: j.nimmo@maths.gla.ac.uk
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Abstract

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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.

Keywords

35Q5846L55
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue A , February 2009 , pp. 121 - 127
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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