Exact periodic cross-kink wave solutions for the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Fu, Zhong-Hua ; Liu, Jian-Guo

Abstract

Based on the extended homoclinic test technique and the Hirota’s bilinear method, the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation is investigated which describes the fluid propagating and can be considered as a model for an incompressible fluid. With the aid of symbolic computation, we introduce two new Ansätz functions to discuss the multiple periodic-soliton solutions of the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Some entirely new periodic-soliton solutions are presented. The figures corresponding to these solutions are illustrated to show abundant physics structures.

Keyword(s)

Hirota’s bilinear form; extended homoclinic test technique; Boiti-Leon-Manna-Pempinelli equation; symbolic computation

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