Symmetry reduced and new exact non-traveling wave solutions of potential Kadomtsev-Petviashvili equation with p-power |
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Authors: | Da-Quan Xian Han-Lin Chen |
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Affiliation: | School of Sciences, Southwest University of Science and Technology, 59 Qinglong Road, Fucheng District, Mianyang 621010, PR China |
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Abstract: | With the aid of Maple symbolic computation and Lie group method, PKPp equation is reduced to some (1 + 1)-dimensional partial differential equations, in which there are linear PDE with constant coefficients, nonlinear PDE with constant coefficients, and nonlinear PDE with variable coefficients. Using the separation of variables, homoclinic test technique and auxiliary equation methods, we obtain new abundant exact non-traveling solution with arbitrary functions for the PKPp. |
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Keywords: | PKPp equation Lie group method Symmetry reduced Homoclinic test technique Auxiliary equation Exact non-traveling wave solution |
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