A Special Integrable Differential-Difference Equation and Its Related Systems : Bilinear Forms Soliton Solutions and Lax PairsA
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概要
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In this paper, a special intcgrable differential-difference equation and its related systems are studied. First of all, by using dependent variable transformations, this special lattice is transformed into two bilinear forms. As a result, the corresponding soliton solutions are obtained. A coupled set of bilinear equations is proposed and related to the same special lattice in a certain way. We also derive the t-flow and z-flow of the coupled bilinear equations. Lax pairs for the t-flow and the z-flow are given. Furthermore, a bilinear Backlund transformation and the corresponding nonlinear superposition formula for the coupled bilinear equations are presented. Soliton solutions to the coupled bilinear equations are derived.
- 社団法人日本物理学会の論文
- 2003-02-15
著者
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Hu Xing-biao
Steat Key Laboratory Of Scientific And Engineering Computing Institute Of Computational Mathematics
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TAM Hon-Wah
Department of Computer Science, Hong Kong Baptist University
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Tam Hon-wah
Department Of Computer Science Hong Kong Baptist University
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