Lie Symmetry Analysis, Self-Adjointness and Conservation Law for a Type of Nonlinear Equation

Abstract

In the present paper, we mainly focus on the symmetry of the solutions of a given PDE via Lie group method. Meanwhile we transfer the given PDE to ODEs by making use of similarity reductions. Furthermore, it is shown that the given PDE is self-adjoining, and we also study the conservation law via multiplier approach.