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Application of bilinear method to integrable differential-difference equations

Published online by Cambridge University Press:  19 July 2002

Xing-Biao Hu  and
Hon-Wah Tam
Xing-Biao Hu
Affiliation:
Academy of Mathematics and Systems Sciences, State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific Engineering Computing, Academia Sinica, P.O. Box 2719, Beijing 100080, P.R. China e-mail: [email protected]
Hon-Wah Tam
Affiliation:
Department of Computer Science, Hong Kong Baptist University, Kowloon Tong, Hong Kong, P.R. China e-mail: [email protected]
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Abstract

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Two coupled bilinear equations are considered, and then two new coupled differential-difference systems are found. Also two special reductions of these two systems are studied. By using Hirota's method, Bäcklund transformation and superposition formulae, soliton solutions to these equations are presented.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue A , June 2001 , pp. 43 - 51
Copyright
© 2001 Glasgow Mathematical Journal Trust