%A Shi Lan-Fang, Chen Cai-Sheng, Zhou Xian-Chun
%T The extended auxiliary equation method for the KdV equation with variable coefficients
%0 Journal Article
%D 2011
%J Chin. Phys. B
%R 10.1088/1674-1056/20/10/100507
%P 100507-100507
%V 20
%N 10
%U {http://cpb.iphy.ac.cn/CN/abstract/article_25602.shtml}
%8 2011-10-15
%X 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.