Integrability of a differential-difference KP equation with self-consistent sources

Gegenhasi, and Xing-Biao Hu

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 2, 145-158

Abstract: We introduce a differential-difference KP equation with self-consistent sources (DΔ KPESCS) which is a generalization of the DΔ KP equation. The integrability of the differential-difference equation is shown through bilinear transformation method and Wronskian technique: it possesses N-soliton solution expressed in terms of Casorati determinants, bilinear Bäcklund transformation and Lax pairs.

Keywords: Solitons; Bäcklund transformation; Lax pair; Differential-difference KP equation with sources (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:2:p:145-158

DOI: 10.1016/j.matcom.2006.10.034

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