Invariant sets and solutions to a class of wave equations

Yaying Dong, Shunli Zhang and Shanbing Li

Applied Mathematics and Computation, 2015, vol. 253, issue C, 369-376

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)}.

Keywords: Wave equation; Invariant set; Exact solution (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:253:y:2015:i:c:p:369-376

DOI: 10.1016/j.amc.2014.12.093

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