Affiliation:
1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
Abstract
We study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP(3,2)equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP(3,2)equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, compacton, and loop solutions. As a result, the conditions under which peakon, cuspon, compacton, and loop solutions appear are also given.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis
Cited by
1 articles.
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