The extended auxiliary equation method for the KdV equation with variable coefficients

doi:10.1088/1674-1056/20/10/100507

Abstract This paper applies an extended auxiliary equation method to obtain exact solutions of the KdV equation with variable coefficients. As a result, solitary wave solutions, trigonometric function solutions, rational function solutions, Jacobi elliptic doubly periodic wave solutions, and nonsymmetrical kink solution are obtained. It is shown that the extended auxiliary equation method, with the help of a computer symbolic computation system, is reliable and effective in finding exact solutions of variable coefficient nonlinear evolution equations in mathematical physics.

Keywords: extended auxiliary equation method KdV equation with variable coefficients exact solutions

Received: 29 December 2010
Revised: 08 April 2011
Accepted manuscript online:

PACS:	05.45.Yv	(Solitons)
	02.60.Cb	(Numerical simulation; solution of equations)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the Fundamental Research Funds for the Central Universities (Grant No. 2010B17914) and the National Natural Science Foundation of China (Grant No. 10926162).

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Shi Lan-Fang(石兰芳), Chen Cai-Sheng(陈才生), and Zhou Xian-Chun(周先春) The extended auxiliary equation method for the KdV equation with variable coefficients 2011 Chin. Phys. B 20 100507

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The extended auxiliary equation method for the KdV equation with variable coefficients

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