New approach to find exact solutions of time-fractional Kuramoto–Sivashinsky equation

S. Sahoo and S. Saha Ray

Physica A: Statistical Mechanics and its Applications, 2015, vol. 434, issue C, 240-245

Abstract: In the present paper, we construct the analytical exact solutions of a nonlinear evolution equation in mathematical physics, viz. time-fractional Kuramoto–Sivashinsky equation by a new proposed method via fractional complex transform. As a result, new types of exact analytical solutions are obtained. Here the fractional derivative is described in Jumarie’s modified Riemann–Liouville sense.

Keywords: Tanh method; Time-fractional Kuramoto–Sivashinsky equation; Modified Riemann–Liouville derivative; Fractional complex transform (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:434:y:2015:i:c:p:240-245

DOI: 10.1016/j.physa.2015.04.018

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