A Modified Semi-Discrete BKP-Type Equation with Self-Consistent Sources
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概要
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In this paper, a modified semi-discrete BKP-type equation [$t_{-1}$-flow of the BKP hierarchy (KP hierarchy of the B-type)] is firstly proposed and its pfaffian solutions are obtained. Then, utilizing the source generation procedure, this modified semi-discrete BKP-type equation with self-consistent sources (BKP-type ESCS) is presented and its pfaffian solutions are derived. This modified semi-discrete BKP-type ESCS obtained is shown to constitute a bilinear Bäcklund transformation for the semi-discrete BKP-type ESCS originally given by Wang et al. in 2007. This means that the commutativity of the source generation procedure (SGP) and Bäcklund transformations (BT) is valid for the semi-discrete BKP-type equation.
- 2010-09-15
著者
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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, Kowloon Tong, Hong Kong, P. R. China
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Hu Juan
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, P. R. China
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