Journal
AIN SHAMS ENGINEERING JOURNAL
Volume 4, Issue 4, Pages 903-909Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.asej.2013.01.010
Keywords
Modified simple equation method; Nonlinear evolution equations; Solitary wave solutions; Exact solutions; Tzitzeica-Dodd-Bullough equation; Modified KdV-Zakharov-Kuznetsov equation
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The modified simple equation (MSE) method is thriving in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in engineering and mathematical physics. In this study, we bring to bear the MSE method to look for the exact solutions via the TzitzeicaDodd-Bullough and the modified KdV-Zakharov-Kuznetsov equations involving parameters. When the parameters receive special values, solitary wave solutions are derived from the exact solutions. By means of this scheme, we found some fresh traveling wave solutions of the above mentioned equations. (C) 2013 Ain Shams University. Production and hosting by Elsevier B.V. All rights reserved.
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