Study of Integrability and Exact Solutions for Nonlinear Evolution Equations

Abstract

and Applied Analysis 3 Two papers in our special issue are concerned about the study of application to the symbolic computation method and special function. In the paper titled “New nonlinear systems admitting Virasoro-type symmetry algebra and groupinvariant solutions” by L. Wang et al., the authors extend the application of Virasoro-type symmetry prolongationmethod to coupled systems with two-component nonlinear equations by using symbolic computation method. New nonlinear systems admitting infinitely dimensional centerless Virasorotype symmetry algebra are constructed by authors. Some group-invariant solutions are presented by authors in this work. In the paper titled “Elliptic travelling wave solutions to a generalized Boussinesq equation” by A. El Achab, the author investigated the different kinds of travelling wave solutions for the generalized Boussinesq wave equation by using the Weierstrass elliptic function method. As a result, some previously known solutions are recovered by author in this work. Of course, the selected topics and papers do not provide an exhaustive study of all areas of this special issue. Nonetheless, they represent the rich andmany-faceted knowledge that we have the pleasure of sharing with the readers.