Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation. (English) Zbl 1474.35569

Rui, Wenjuan; Zhao, Peiyi; Zhang, Yufeng

Abstr. Appl. Anal. 2014, Article ID 840405, 6 p. (2014).

Summary: Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation are studied. The Lie symmetry approach is used to obtain the invariant solutions. Conservation laws for the underlying equation are derived by utilizing the new conservation theorem and the partial Lagrange approach.

MSC:

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

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