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

Chinese Journal of Quantum Electronics, Volume. 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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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

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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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Paper Information

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Received: Dec. 16, 2013

Accepted: --

Published Online: Jun. 3, 2014

The Author Email: Zhen-li WANG (rr101014@163.com)

DOI:10.3969/j.issn.1007461.2014.03.002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology