New exact solutions for solving the initial-value-problem of the KdV–KP equation via the Lie group method

Mina B. Abd-el-Malek and Amr M. Amin

Applied Mathematics and Computation, 2015, vol. 261, issue C, 408-418

Abstract: The traveling wave solutions of the two-dimensional KdV–KP equation are studied via the Lie group method. The KdV–KP equation is a nonlinear partial differential equation in two spatial and one temporal coordinate which describes the evolution of nonlinear, long waves of small amplitude with slow dependence on the transverse coordinate.

Keywords: KdV – Kadmotsev and Petviashvili equation; Lie group method; The extended F-expansion method; Jacobi doubly periodic wave solutions (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:261:y:2015:i:c:p:408-418

DOI: 10.1016/j.amc.2015.03.117

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