4.7 Article

Application of the simplest equation method to some time-fractional partial differential equations

Journal

AIN SHAMS ENGINEERING JOURNAL
Volume 4, Issue 4, Pages 897-902

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.asej.2013.01.006

Keywords

The simplest equation method; Nonlinear fractional Klein-Gordon equation; Generalized Hirota-Satsuma coupled KdV system of time-fractional order; Nonlinear fractional Sharma-Tasso-Olever equation

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In this paper, we establish exact solutions for some time fractional differential equations. The simplest equation method is used to construct the exact solutions of nonlinear fractional Klein-Gordon equation, Generalized Hirota-Satsuma coupled KdV system of time fractional order and nonlinear fractional Sharma-Tasso-Olever equation. The simplest equation method presents a wide applicability to handling nonlinear wave equations. (C) 2013 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.

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