A NON-COMMUTATIVE SEMI-DISCRETE TODA EQUATION AND ITS QUASI-DETERMINANT SOLUTIONS
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 121-127
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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.
LI, C. X.; NIMMO, J. J. C. A NON-COMMUTATIVE SEMI-DISCRETE TODA EQUATION AND ITS QUASI-DETERMINANT SOLUTIONS. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 121-127. doi: 10.1017/S0017089508004837
@article{10_1017_S0017089508004837,
author = {LI, C. X. and NIMMO, J. J. C.},
title = {A {NON-COMMUTATIVE} {SEMI-DISCRETE} {TODA} {EQUATION} {AND} {ITS} {QUASI-DETERMINANT} {SOLUTIONS}},
journal = {Glasgow mathematical journal},
pages = {121--127},
year = {2009},
volume = {51},
number = {A},
doi = {10.1017/S0017089508004837},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004837/}
}
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%0 Journal Article %A LI, C. X. %A NIMMO, J. J. C. %T A NON-COMMUTATIVE SEMI-DISCRETE TODA EQUATION AND ITS QUASI-DETERMINANT SOLUTIONS %J Glasgow mathematical journal %D 2009 %P 121-127 %V 51 %N A %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004837/ %R 10.1017/S0017089508004837 %F 10_1017_S0017089508004837
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