Journal
PHYSICS LETTERS A
Volume 372, Issue 21, Pages 3808-3813Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2008.02.048
Keywords
sub-ODE method; nonlinear partial differential equations; travelling wave solutions
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In this Letter, Li and Wang's sub-ODE method [X.Z. Li, M.L.Wang, Phys. Lett. A 361 (2007) 115] 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. (C) 2008 Elsevier B.V. All rights reserved.
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