Classical symmetries, travelling wave solutions and conservation laws of a generalized Fornberg–Whitham equation

摘要

In this paper, we consider a generalized Fornberg–Whitham Equation. We make an analysis of the symmetries of this equation using the classical Lie symmetry method. Symmetry reductions are derived from an optimal system of subalgebras and lead to ordinary differential equations. We obtain travelling wave solutions. In addition, using the general multiplier method, new conservation laws of this equation are determined.