2007•Journal of Liaocheng UniversityRequires access

Symmetries,Reductions,Group invariant Solutions and Conservation Laws of (2+1)-dimensional Boussinesq Equation

Ling Wang

Abstract

In this paper,we obtain symmetries,symmetry reductions and group invariant solutions to the (2+1)-dimensional Boussinesq equation by using the Lie group method.For exact solutions of the equation,we generalize the corresponding results of the papers [3].As for the close relationship between symmetries and conservation laws,we also find infinite conservation laws of the (2+1)-dimensional Boussinesq equation.

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Available abstract

Key concepts: Conservation law, Homogeneous space, Invariant (physics), Mathematics, Group (periodic table), Lie group, Spacetime symmetries, Symmetry group