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Far East Journal of Applied Mathematics

Far East Journal of Applied Mathematics
Volume 96, Issue 6, Pages 323 - 330 (June 2017)
http://dx.doi.org/10.17654/AM096060323

SOLVING THE (3+1)-DIMENSIONAL KADOMTSEV-PETVIASHVILI EQUATION BY THE METHOD OF DYNAMICAL SYSTEMS

Huifang Wei, Mei Xiong, Longwei Chen and Baoxing Zhou

Abstract:

In this paper, we mainly use the dynamical systems method to solve the -dimensional Kadomtsev-Petviashvili equation. Through qualitative analysis, we get bifurcation of phase portraits under different parameter conditions of the system, as well as the solitary wave solutions and periodic wave solutions. These solutions enrich the solution space of the equation.