Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 217, Issue 4, Pages 1385-1390Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.05.027
Keywords
Homogeneous balance method; Traveling wave solutions; Soliton solutions; Benjamin-Bona-Mahoney equation; Riccati equation
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We make use of the homogeneous balance method and symbolic computation to construct new exact traveling wave solutions for the Benjamin-Bona-Mahoney (BBM) equation. Many new exact traveling wave solutions are successfully obtained, which contain rational and periodic-like solutions. This method is straightforward and concise, and it can also be applied to other nonlinear evolution equations. (C) 2009 Elsevier Inc. All rights reserved.
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