Soliton solutions for generalized fifth-order KdV and BBM equations with variable coefficients

Yu-zhen SUN; Zhen-li WANG; Gang-wei WANG; Xi-qiang LIU

doi:10.3969/j.issn.1007-5461.2013.04.003

Journals >Chinese Journal of Quantum Electronics >Volume 30 >Issue 4 >Page 398 > Article

Chinese Journal of Quantum Electronics
Vol. 30, Issue 4, 398 (2013)

Soliton solutions for generalized fifth-order KdV and BBM equations with variable coefficients

Yu-zhen SUN^*, Zhen-li WANG, Gang-wei WANG, and Xi-qiang LIU

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[in Chinese]

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DOI: 10.3969/j.issn.1007-5461.2013.04.003 Cite this Article

SUN Yu-zhen, WANG Zhen-li, WANG Gang-wei, LIU Xi-qiang. Soliton solutions for generalized fifth-order KdV and BBM equations with variable coefficients[J]. Chinese Journal of Quantum Electronics, 2013, 30(4): 398 Copy Citation Text

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Abstract

The wave soliton ansatz was performed for both the generalized fifth-order KdV and BBM equations. The soliton solutions for both the generalized fifth-order KdV and BBM equations were given. For the soliton solutions, to guarantee the existence of the above soliton solutions, the conditions of existence of soliton solutions were presented.

Keywords

ansatz method BBM equation fifth-order KdV equation solitons variable coefficients

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