New Nonlinear Systems Admitting Virasoro‐Type Symmetry Algebra and Group‐Invariant Solutions

Lizhen Wang, Qing Huang and Yanmei Di

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: With the aid of symbolic computation by Maple, we extend the application of Virasoro‐type symmetry prolongation method to coupled systems with two‐component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro‐type symmetry algebra are constructed. Taking one of them as an example, we present some group‐invariant solutions to one of the new model systems.

Date: 2014
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https://doi.org/10.1155/2014/836737

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:836737

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