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

J4 ›› 2013, Vol. 30 ›› Issue (4): 398-404.

• Quantum Physics • Previous Articles Next Articles

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

Sun Yu-zhen, Wang Zhen-li, Wang Gang-wei , Liu Xi-qiang

School of Mathematics Science，Liaocheng University，Liaocheng 252059，China

Received:2013-01-21 Revised:2013-03-01 Published:2013-07-28 Online:2013-07-06

Abstract

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

Key words: solitons, ansatze method, variable coefficients, fifth-order KdV equation, BBM equation

CLC Number:

O175.2

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]. J4, 2013, 30(4): 398-404.

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

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