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

Ning LI; Xi-qiang LIU

doi:10.3969/j.issn.1007-5461.2013.04.002

Journals >Chinese Journal of Quantum Electronics >Volume 30 >Issue 4 >Page 391 > Article

Chinese Journal of Quantum Electronics
Vol. 30, Issue 4, 391 (2013)

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

Ning LI^* and Xi-qiang LIU

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[in Chinese]

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DOI: 10.3969/j.issn.1007-5461.2013.04.002 Cite this Article

LI Ning, LIU Xi-qiang. New explicit solutions of generalized (3+1)-dimensional higher-order Kadomtsov-Petviashivilli equation[J]. Chinese Journal of Quantum Electronics, 2013, 30(4): 391 Copy Citation Text

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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 (KP) equations were obtained, which included Jacobi elliptic function solutions, hyperbolic function solutions, trigonometric function solutions, and so on.

Keywords

explicit solutions generalized algebraic method generalized Kadomtsov-Petviashivilli equation homogeneous balance principle nonlinear equation

LI Ning, LIU Xi-qiang. New explicit solutions of generalized (3+1)-dimensional higher-order Kadomtsov-Petviashivilli equation[J]. Chinese Journal of Quantum Electronics, 2013, 30(4): 391

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