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

الملخص EN

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.