Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 188, Issue 2, Pages 1467-1475Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2006.11.013
Keywords
nonlinear parabolic equations; the tanh-coth method; solitons; kinks
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The tanh-coth method is used to derive solitons and kink solutions for some of the well-known nonlinear parabolic partial differential equations. The equations include the Fisher equation, Newell-Whithead equation, Allen-Cahn equation, FitzHugh-Nagumo equation, Fisher's equation, and the Burgers-Fisher equation. The new tanh-coth approach provides abundant solitons and kink solutions in addition to the existing ones. The power of this manageable method is confirmed. (c) 2006 Elsevier Inc. All rights reserved.
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