中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80202-080202.doi: 10.1088/1674-1056/19/8/080202
刘希忠
Liu Xi-Zhong(刘希忠)†
摘要: This paper studies the generalized Kawahara equation in terms of the approximate homotopy symmetry method and the approximate homotopy direct method. Using both methods it obtains the similarity reduction solutions and similarity reduction equations of different orders, showing that the approximate homotopy direct method yields more general approximate similarity reductions than the approximate homotopy symmetry method. The homotopy series solutions to the generalized Kawahara equation are consequently derived.
中图分类号: (Approximations and expansions)