Exact solutions of nonlinear partial fractional differential equations using fractional sub-equation method

In this article, we use fractional sub-equation method to find the exact solutions for some nonlinear partial fractional differential equations, namely space–time fractional coupled Sakharov–Kuznetsov (Z–K) equations, space–time fractional nonlinear coupled Korteweg de Vries (KdV) equations and spac...

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Bibliographic Details
Published in:Indian journal of physics 2014-03, Vol.88 (3), p.293-300
Main Authors: Gepreel, K. A., Al-Thobaiti, A. A.
Format: Article
Language:English
Subjects:
Astrophysics and Astroparticles
Nonlinear equations
Partial differential equations
Physics
Physics and Astronomy
Review Paper
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Summary:In this article, we use fractional sub-equation method to find the exact solutions for some nonlinear partial fractional differential equations, namely space–time fractional coupled Sakharov–Kuznetsov (Z–K) equations, space–time fractional nonlinear coupled Korteweg de Vries (KdV) equations and space–time fractional Hirota–Satsuma KdV system. As a result, three families of exact analytical solutions are obtained. Proposed method is more effective and powerful to construct the exact solutions for nonlinear partial fractional differential equations. Also, we use fractional complex transform and exp function method to find some of the exact solutions for nonlinear partial fractional differential equations.
ISSN:0973-1458
0974-9845
DOI:10.1007/s12648-013-0407-0