New explicit solutions of generalized (3 + 1)-dimensional higher-order Kadomtsov-Petviashivilli equation

Abstract

Abstract: By applying the generalized algebraic method, the generalized (3+1)-dimensional Kadomtsov-Petviashivilli equation was studied. Some new explicit solutions of the generalized (3+1)-dimensional Kadomtsov-Petviashivilli equations were obtained, which included Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions and so on.

Key words: nonlinear equation, explicit solutions, generalized algebraic method, generalized Kadomtsov-Petviashivilli equation, homogeneous balance principle

CLC Number:

O175.2

LI Ning，LIU Xiqiang. New explicit solutions of generalized (3 + 1)-dimensional higher-order Kadomtsov-Petviashivilli equation [J]. J4, 2013, 30(4): 391-397.

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