4.6 Article

Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques (G′/G)-expansion method and improved (G′/G)-expansion method

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Publisher

ELSEVIER
DOI: 10.1016/j.physa.2015.12.072

Keywords

Fractional complex transform (G '/G)-expansion method; Improved (G '/G)-expansion method; Time fractional modified KdV equation; Local fractional calculus

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 the analytical exact solutions of a nonlinear evolution equation in mathematical physics; namely time fractional modified KdV equation by using (G'/G)-expansion method and improved (G'/G)-expansion method. As a result, new types of exact analytical solutions are obtained. (C) 2016 Elsevier B.V. All rights reserved.

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