Journal
AIN SHAMS ENGINEERING JOURNAL
Volume 7, Issue 1, Pages 463-472Publisher
ELSEVIER
DOI: 10.1016/j.asej.2015.04.001
Keywords
Improved generalized exp-function method; Nonlinear fractional differential equation; Modified Riemann-Liouville derivative; Exact solution; Space-time fractional Burgers equation; Multi-wave solutions
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Based on the improved generalized exp-function method, the space-time fractional Burgers and Sharma-Tasso-Olver equations were studied. The single-wave, double-wave, three-wave and four-wave solution discussed. With the best of our knowledge, some of the results are obtained for the first time. The improved generalized exp-function method can be applied to other fractional differential equations. (C) 2015 Production and hosting by Elsevier B.V. on behalf of Ain Shams University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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