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Symmetry reduction, exact solutions and conservation laws of the Sawada-Kotera-Kadomtsev-Petviashvili equation
Authors:Xiang-Peng Xin  Xi-Qiang Liu  Lin-Lin Zhang
Affiliation:School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China
Abstract: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.
Keywords:Sawada-Kotera-Kadomtsev-Petviashvili equation   Symmetry   Exact solution   Conservation laws
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