Lie symmetry reductions and exact solutions of a coupled KdV–Burgers equation

摘要

In this paper, based on classical Lie group method, with the help of Maple software, we study a coupled KdV–Burgers equation, and get its infinitesimal generator, commutation table of Lie algebra, symmetry group and similarity reductions. In particular, solitary wave solutions and similarity solutions of the coupled KdV–Burgers equation are derived from the reduction equations.