Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 181, Issue 2, Pages 1713-1719Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2006.03.024
Keywords
a variable separated ODE method; modified KdV equation; sine-Gordon equation; sinh-Gordon equation
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In this work we formally derive exact travelling wave solutions for the modified KdV-sine-Gordon (MKdV-sine-Gordon) equation and the modified KdV-sinh-Gordon equation (MMV-sinh-Gordon). The proposed analysis depends mainly on a variable separated ODE method. Two distinct sets of exact solitary wave solutions, that possess distinct physical structures, are formally derived for each equation. The derived solutions include others' results and introduce entirely new solutions. (c) 2006 Elsevier Inc. All rights reserved.
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