4.0 Article

A NOVEL ANALYTICAL METHOD WITH FRACTIONAL COMPLEX TRANSFORM FOR NEW EXACT SOLUTIONS OF TIME-FRACTIONAL FIFTH-ORDER SAWADA-KOTERA EQUATION

Journal

REPORTS ON MATHEMATICAL PHYSICS
Volume 75, Issue 1, Pages 63-72

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/S0034-4877(15)60024-6

Keywords

tanh-sech method; time-fractional fifth-order Sawada-Kotera equation; modified Riemann-Liouville derivative; fractional complex transform

Funding

  1. BRNS of Bhabha Atomic Research Centre, Mumbai under Department of Atomic Energy, Government of India [2012/37P/54/BRNS/2382]

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In the present paper, we construct analytical exact solutions of a nonlinear evolution equation in mathematical physics; namely the time-fractional fifth-order Sawada-Kotera equation by the tanh-sech 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 Ricmann-Liouville sense.

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