The extended tanh method and its applications for solving nonlinear physical models

The tanh method is a powerful solution method; various extension forms of the tanh method have been developed with a computerized symbolic computation and is used for constructing the exact travelling wave solutions, of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. First a power series in tanh was used as an ansatz to obtain analytical solutions of traveling wave type of certain nonlinear evolution equations .The main properties of the method will be explained and then applied to particular and well-chosen examples in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in physics