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SOME ASPECTS OF THE TODA MOLECULE

Published online by Cambridge University Press:  14 July 2005

M. NISHIZAWA ,
Y. OHTA  and
S. TSUJIMOTO
M. NISHIZAWA
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan
Y. OHTA
Affiliation:
Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
S. TSUJIMOTO
Affiliation:
Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan
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Abstract

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A $q$-discrete analog of the Toda molecule equation and its $N$-soliton solution are constructed by using the bilinear method. The solution is expressed in the Casorati determinant form whose elements are given in terms of the $q$-orthogonal polynomials.

Keywords

35Q5833C47
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue A , June 2005 , pp. 169 - 176
Copyright
2005 Glasgow Mathematical Journal Trust