Symmetry reductions and exact solutions of the (2 + 1)-dimensional Camassaa€“Holm Kadomtseva€“Petviashvili equation

摘要

In this paper, the classical Lie group method is employed to obtain exact travelling wave solutions of the generalized Camassaa€“Holm Kadomtseva€“Petviashvili (g-CHa€“KP) equation. We give the conservation laws of the g-CHa€“KP equation. Using the symmetries, we find six classical similarity reductions of g-CHa€“KP equation. Many types of exact solutions of the g-CHa€“KP equation are derived by solving the reduced equations.