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

• Published in: Physica A Vol. 448; pp. 265 - 282
• Main Authors: Sahoo, S., Saha Ray, S.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.04.2016
• Subjects: [formula omitted]-expansion method; Construction; Exact solutions; Fractional complex transform; Improved [formula omitted]-expansion method; Local fractional calculus; Mathematical analysis; Nonlinear evolution equations; Solitary waves; Statistical mechanics; Time fractional modified KdV equation; Fractional complex transform; Time fractional modified KdV equation; (G′/G)-expansion method; Local fractional calculus; Improved (G′/G)-expansion method
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2015.12.072

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. •As a result, new types of exact analytical solutions are obtained.•The paper is novel and worthy.•It desires publication in this esteemed journal.