The Tanh Method: a Tool to solve NLPDEs with Symbolic Software

摘要

The tanh (or hyperbolic tangent) method is a powerful technique to look for travelling waves when dealing with one-dimensional non-linear wave and evolution equations. In particular, this method is well suited for those problems where dispersion, convection and reaction-diffusion play an important role.We next outline this technique for the computation of closed-form tanh-solutions for nonlinear PDEs and ODEs. Basic examples illustrate key steps of the algorithm.Finally a survey is given about the symbolic software packages currently available.