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New nonlinear systems admitting Virasoro-type symmetry algebra and group-invariant solutions - MaRDI portal

New nonlinear systems admitting Virasoro-type symmetry algebra and group-invariant solutions (Q1725098)

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scientific article; zbMATH DE number 7023167
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English
New nonlinear systems admitting Virasoro-type symmetry algebra and group-invariant solutions
scientific article; zbMATH DE number 7023167

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    New nonlinear systems admitting Virasoro-type symmetry algebra and group-invariant solutions (English)
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    14 February 2019
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    Summary: 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.
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