Abundant closed-form solitons for time-fractional integro–differential equation in fluid dynamics

• Published in: Optical and quantum electronics Vol. 53; no. 3
• Main Authors: Az-Zo’bi, Emad A., AlZoubi, Wael A., Akinyemi, Lanre, Şenol, Mehmet, Alsaraireh, Islam W., Mamat, Mustafa
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.03.2021; Springer Nature B.V
• Subjects: Characterization and Evaluation of Materials; Computational fluid dynamics; Computer Communication Networks; Differential equations; Electrical Engineering; Exact solutions; Graphical representations; Hyperbolic functions; Lasers; Mathematical analysis; Nonlinear equations; Nonlinear evolution equations; Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Solitary waves; Nonlinear dynamics; Ito equation; Soliton solutions; Simple equation method; Conformable fractional derivative
• ISSN: 0306-8919; 1572-817X
• DOI: 10.1007/s11082-021-02782-6

In this paper, with the aid of the Mathematica package, several classes of exact analytical solutions for the time-fractional ( 2 + 1 ) -dimensional Ito equation are obtained. To analytically tackle the above equation, the Kudryashov simple equation approach and its modified form are applied. Rational, exponential-rational, periodic, and hyperbolic functions with a number of free parameters were represented by the obtained soliton solutions. Graphical illustrations with special choices of free constants and different fractional orders are included for certain acquired solutions. Both approaches include the efficiency, applicability and easy handling of the solution mechanism for nonlinear evolution equations that occur in the various real-life problems.