Commutativity of source generation procedure and Bäcklund transformation: A BKP equation

Hong-Yan Wang

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 4, 779-785

Abstract: The source generation procedure is applied to a BKP-type equation and a modified BKP-type (m-BKP) equation, respectively. As a result, a BKP equation with self-consistent sources (ESCS) and a m-BKP ESCS are derived. It is also proved that the bilinear m-BKP ESCS constitutes a bilinear Bäcklund transformation for the BKP ESCS. This means that the commutativity between the source generation procedure and Bäcklund transformation is valid for the BKP equation.

Keywords: BKP equation; Soliton equations with self–consistent sources; Commutativity; Source generation procedure (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:4:p:779-785

DOI: 10.1016/j.matcom.2009.08.011

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