Journal
PHYSICS LETTERS A
Volume 361, Issue 1-2, Pages 115-118Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2006.09.022
Keywords
generalized KdV-mKdV equation; homogeneous balance principle; sub-ODE method; solitary wave; sinusoidal wave
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The bell type solitary wave solution, the kink type solitary wave solution, the algebraic solitary wave solution and the sinusoidal traveling wave solution of a generalized KdV-mKdV equation (GKdV-mKdV) with high-order nonlinear terms are obtained by a subsidiary ordinary differential equation method (sub-ODE method for short). The key ideas of the sub-ODE method are that the traveling wave solutions of a complicated nonlinear wave equation can be constructed by means of the solutions of some simple and solvable ODES which are called sub-ODES. (c) 2006 Elsevier B.V. All rights reserved.
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