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Optical and Quantum Electronics

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01-11-2017

Computing exact solutions for conformable time fractional generalized seventh-order KdV equation by using \({\left( {{\varvec{G}}}^{\prime }/{{\varvec{G}}}\right) }\)-expansion method

Authors: B. Agheli, R. Darzi, A. Dabbaghian

Published in: Optical and Quantum Electronics | Issue 11/2017

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Abstract

In this paper, the authors have established the \(\left( G^{\prime }/G\right)\)-expansion method to find exact solutions for conformable time fractional generalized seventh-order KdV equation (FGKdV7). This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations in mathematical physics. The effectiveness of this manageable method has been shown by applying it to several particular cases of the FGKdV7. The present approach has the potential to be applied to other nonlinear fractional differential equations. All of the numerical calculations in the present study have been performed on a PC applying some programs written in Mathematica.

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Title: Computing exact solutions for conformable time fractional generalized seventh-order KdV equation by using -expansion method
Authors: B. Agheli
R. Darzi
A. Dabbaghian
Publication date: 01-11-2017
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 11/2017
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-017-1223-0

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