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Exact solutions for the fractional differential equations by using the first integral method

Exact solutions for the fractional differential equations by using the first integral method Abstract In this paper, we apply the first integral method to study the solutions of the nonlinear fractional modified Benjamin-Bona-Mahony equation, the nonlinear fractional modified Zakharov-Kuznetsov equation and the nonlinear fractional Whitham-Broer-Kaup-Like systems. This method is based on the ring theory of commutative algebra. The results obtained by the proposed method show that the approach is effective and general. This approach can also be applied to other nonlinear fractional differential equations, which are arising in the theory of solitons and other areas. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Exact solutions for the fractional differential equations by using the first integral method

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References (25)

Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
2192-8010
eISSN
2192-8029
DOI
10.1515/nleng-2014-0018
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper, we apply the first integral method to study the solutions of the nonlinear fractional modified Benjamin-Bona-Mahony equation, the nonlinear fractional modified Zakharov-Kuznetsov equation and the nonlinear fractional Whitham-Broer-Kaup-Like systems. This method is based on the ring theory of commutative algebra. The results obtained by the proposed method show that the approach is effective and general. This approach can also be applied to other nonlinear fractional differential equations, which are arising in the theory of solitons and other areas.

Journal

Nonlinear Engineeringde Gruyter

Published: Mar 1, 2015

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