Article ID Journal Published Year Pages File Type
4627072 Applied Mathematics and Computation 2015 8 Pages PDF
Abstract

In this paper, we investigate the invariant sets and exact solutions of the (1 + 2)-dimensional wave equations. It is proven that there exists a class of solutions to the equations, which belong to the invariant set E0={u:ux=vxF(u),uy=vyF(u)}E0={u:ux=vxF(u),uy=vyF(u)}.

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Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
Invariant sets and solutions to a class of wave equations
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