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.
"New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions." Abstr. Appl. Anal. 2014 (SI67) 1 - 8, 2014. https://doi.org/10.1155/2014/836737