The tanh method for traveling wave solutions of nonlinear equations. (English) Zbl 1054.65106

Wazwaz, Abdul-Majid

Appl. Math. Comput. 154, No. 3, 713-723 (2004).

Summary: We employ the tanh method for traveling wave solutions of nonlinear equations. The study is extended to equations that do not have tanh polynomial solutions. The efficiency of the method is demonstrated by applying it for a variety of selected equations.

MSC:

65M70	Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q53	KdV equations (Korteweg-de Vries equations)

Keywords:

tanh method; traveling wave solutions; Korteweg-de Vries equation; KdV equation; Fisher’s equation; numerical examples

Software:

ATFM

References:

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