Symmetry reduction and exact solutions of generalized fourth-order dispersive equation

Zhen-li WANG; Xi-qiang LIU

doi:10.3969/j.issn.1007461.2014.03.002

Journals >Chinese Journal of Quantum Electronics >Volume 31 >Issue 3 >Page 264 > Article

Chinese Journal of Quantum Electronics
Vol. 31, Issue 3, 264 (2014)

Symmetry reduction and exact solutions of generalized fourth-order dispersive equation

Zhen-li WANG^* and Xi-qiang LIU

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[in Chinese]

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DOI: 10.3969/j.issn.1007461.2014.03.002 Cite this Article

WANG Zhen-li, LIU Xi-qiang. Symmetry reduction and exact solutions of generalized fourth-order dispersive equation[J]. Chinese Journal of Quantum Electronics, 2014, 31(3): 264 Copy Citation Text

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Abstract

By applying the direct symmetry method to a generalized fourth-order dispersive equation, the symmetry reductions, group invariant solutions of this equation were obtained, which included hyperbolic function solutions, trigonometric function solutions and soliton solutions. At last, the conservation laws of this equation were given.

Keywords

conservation laws Lie point symmetry groups nonlinear equation soliton solution symmetry reduction

WANG Zhen-li, LIU Xi-qiang. Symmetry reduction and exact solutions of generalized fourth-order dispersive equation[J]. Chinese Journal of Quantum Electronics, 2014, 31(3): 264

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