Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 167, Issue 2, Pages 1162-1178Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2004.07.022
Keywords
compactons; solitons; periodic solutions; Boussinesq equation; sine-cosine ansatz
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Generalized Boussinesq type of equations with positive and negative exponents are examined. The analysis depends mainly on the sine-cosine ansatz. It is formally shown that these nonlinear models give rise to compactons, solitary patterns, solitons, and periodic solutions depending on the exponents and the coefficients of the derivatives of u(x, t). The presented scheme reveals quite a number of remarkable features that will be helpful for identical problems. (c) 2004 Elsevier Inc. All rights reserved.
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