Extended Gram-type determinant solutions to the Kadomtsev–Petviashvili equation

Guo-Fu Yu and Xing-Biao Hu

Mathematics and Computers in Simulation (MATCOM), 2009, vol. 80, issue 1, 184-191

Abstract: In this paper, we would give a broad set of sufficient conditions of systems of linear partial differential equations which guarantee that the Grammian determinant solves the KP (Kadomtsev–Petviashvili) equation in the bilinear form. A systematic analysis of linear partial differential equations is made for solving the resultant linear systems. A special method is constructed to solve the representative systems.

Keywords: Solitons; Pfaffian; Grammian determinant; Kadomtsev–Petviashvili equation (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:80:y:2009:i:1:p:184-191

DOI: 10.1016/j.matcom.2009.06.006

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