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Multi-wave solutions of the space–time fractional Burgers and Sharma–Tasso–Olver equations
Journal article   Open access  Peer reviewed

Multi-wave solutions of the space–time fractional Burgers and Sharma–Tasso–Olver equations

Emad A.-B. Abdel-Salam and Gamal F. Hassan
Ain Shams Engineering Journal, Vol.7(1), pp.463-472
03/2016
DOI: https://doi.org/10.1016/j.asej.2015.04.001

Abstract

Exact solution Improved generalized exp-function method Modified Riemann–Liouville derivative Multi-wave solutions Nonlinear fractional differential equation Space–time fractional Burgers equation
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.
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https://doi.org/10.1016/j.asej.2015.04.001View
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