Symmetry reduced and new exact nontraveling wave solutions of \((2 + 1)\)-dimensional potential Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 1308.35050

Chen, Han-Lin; Xian, Da-Quan

Abstr. Appl. Anal. 2013, Article ID 784134, 5 p. (2013).

Summary: With the aid of Maple symbolic computation and Lie group method, \((2 + 1)\)-dimensional PBLMP equation is reduced to some \((1 + 1)\)-dimensional PDE with constant coefficients. Using the homoclinic test technique and auxiliary equation methods, we obtain new exact nontraveling solution with arbitrary functions for the PBLMP equation.

MSC:

35C07	Traveling wave solutions
35Q53	KdV equations (Korteweg-de Vries equations)
35A30	Geometric theory, characteristics, transformations in context of PDEs

Software:

Maple

References:

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