2012•Ain Shams Engineering JournalOpen access

Exact solutions of nonlinear evolution equations by using the modified simple equation method

N. Taghizadeh, Mohammad Mirzazadeh, A. Samiei Paghaleh, Javad Vahidi

Abstract

The modified simple equation method is an efficient method for obtaining exact solutions of nonlinear evolution equations. In this paper, the modified simple equation method is applied to construct exact solutions of the modified equal width (MEW) equation and the Fisher equation and the nonlinear Telegraph equation and the Cahn–Allen equation. The Fisher equation plays a very important role in mathematical physics and engineering sciences. The new exact solution of the Fisher equation is obtained.

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Key concepts: Fisher's equation, Fisher equation, Mathematics, Simple (philosophy), Exact differential equation, Exact solutions in general relativity, Nonlinear system, Integro-differential equation