Symmetry reduction, exact solutions and conservation laws of the Sawada–Kotera–Kadomtsev–Petviashvili equation

摘要

In this paper, by applying a direct symmetry method, we obtain the symmetry reduction, group invariant solution and many new exact solutions of SK–KP equation, which include Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions and so on. At last, we also give the conservation laws of SK–KP equation.