Computing exact solutions for conformable time fractional generalized seventh-order KdV equation by using G′/G-expansion method

• Published in: Optical and quantum electronics Vol. 49; no. 11; pp. 1 - 13
• Main Authors: Agheli, B., Darzi, R., Dabbaghian, A.
• Format: Journal Article
• Language: English
• Published: New York Springer US 2017; Springer Nature B.V
• Subjects: Characterization and Evaluation of Materials; Computer Communication Networks; Computing time; Differential equations; Electrical Engineering; Exact solutions; Korteweg-Devries equation; Lasers; Nonlinear equations; Nonlinear evolution equations; Optical Devices; Optics; Personal computers; Photonics; Physics; Physics and Astronomy; 35R11; Fractional generalized seventh-order KdV equation; Conformable derivative; Traveling wave solutions; 26A33; 34A08
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-017-1223-0

In this paper, the authors have established the G ′ / G -expansion method to find exact solutions for conformable time fractional generalized seventh-order KdV equation (FGKdV7). This method is an effective method in finding exact traveling wave solutions of nonlinear evolution equations in mathematical physics. The effectiveness of this manageable method has been shown by applying it to several particular cases of the FGKdV7. The present approach has the potential to be applied to other nonlinear fractional differential equations. All of the numerical calculations in the present study have been performed on a PC applying some programs written in Mathematica .