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Zbl 1220.35157
Zhang, Sheng; Wang, Wei; Tong, Jing-Lin
The improved sub-ODE method for a generalized KdV-mKdV equation with nonlinear terms of any order. (English)
[J] Phys. Lett., A 372, No. 21, 3808-3813 (2008). ISSN 0375-9601

Summary: In this Letter, Li and Wang's sub-ODE method [{\it X.Z. Li} and {\it M.L. Wang}, ibid. 361, No. 1--2, 115--118 (2007; Zbl 1170.35085)] is improved and applied to the generalized KdV-mKdV equation with nonlinear terms of any order. As a result, more travelling wave solutions are obtained including not only all the known solutions found by Li and Wang but also other formal solutions. This improved sub-ODE method can be used for solving other nonlinear partial differential equations with nonlinear terms of any order in mathematical physics.

MSC 2000:: *35Q53 KdV-like equations
35C07
35C20 Asymptotic expansions of solutions of PDE
83C15 Closed form solutions of equations in general relativity

Keywords: sub-ODE method; nonlinear partial differential equations; traveling wave solutions

Citations: Zbl 1170.35085

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