2005•Zeitschrift für Naturforschung AOpen access

Extended tanh-Function Method for Finding Travelling Wave Solutions of Some Nonlinear Partial Differential Equations

Mustafa İnç, Engui Fan

Abstract

In this paper, we find travelling wave solutions of some nonlinear partial differential equations (PDEs) by using the extended tanh-function method. Some illustrative equations are investigated by this method and new travelling wave solutions are found. In addition, the properties of these nonlinear PDEs are shown with some figures.

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Key concepts: Traveling wave, Hyperbolic function, Nonlinear system, Partial differential equation, Hyperbolic partial differential equation, Mathematical analysis, Method of characteristics, Function (biology)