Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 70, Issue 2, Pages 158-166Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2015.05.002
Keywords
Improved fractional sub-equation method; Time fractional KdV-Zakharov-Kuznetsov (KdV-ZK) equation; space-time fractional modified KdV-Zakharov-Kuznetsov (mKdV-ZK) equation; Modified Riemann-Liouville derivative; Mittag-Leffler function
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In the present paper, we construct the analytical exact solutions of some nonlinear evolution equations in mathematical physics, namely the time fractional KdV-Zakharov-Kuznetsov (KdV-ZK) and space-time fractional modified KdV-Zakharov-Kuznetsov (mKdV-ZK) equations by using improved fractional sub equation method. As a result, new types of exact analytical solutions are obtained. The obtained results are shown graphically. Here the fractional derivative is described in the Jumarie's modified Riemann-Liouville sense. (C) 2015 Elsevier Ltd. All rights reserved.
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