The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations

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.