中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100507-100507.doi: 10.1088/1674-1056/20/10/100507
周先春1, 陈才生2, 石兰芳3
Shi Lan-Fang(石兰芳)a)b)†, Chen Cai-Sheng(陈才生)a), and Zhou Xian-Chun(周先春)c)
摘要: 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.
中图分类号: (Solitons)