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

N. Taghizadeh | Zendy; Mohammad Mirzazadeh | Zendy; A. Samiei Paghaleh | Zendy; Javad Vahidi | Zendy

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

Author(s) -

N. Taghizadeh,

Mohammad Mirzazadeh,

A. Samiei Paghaleh,

Javad Vahidi

Publication year - 2012

Publication title -

ain shams engineering journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.505

H-Index - 46

eISSN - 2090-4495

pISSN - 2090-4479

DOI - 10.1016/j.asej.2012.03.010

Subject(s) - fisher's equation , fisher equation , mathematics , simple (philosophy) , exact differential equation , exact solutions in general relativity , nonlinear system , integro differential equation , riccati equation , burgers' equation , partial differential equation , independent equation , characteristic equation , first order partial differential equation , mathematical analysis , physics , philosophy , epistemology , quantum mechanics , real interest rate , monetary economics , economics , interest rate

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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