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Abundant closed-form solitons for time-fractional integro–differential equation in fluid dynamics
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  • Emad Az-Zo'bi,
  • Wael A AlZoubi,
  • Lanre Akinyemi,
  • Mehmet Senol,
  • Islam W Alsaraireh,
  • Mustafa Mamat
Emad Az-Zo'bi
Mutah University
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Wael A AlZoubi
Balqaa Applied University
Lanre Akinyemi
Prairie University A&M University
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Mehmet Senol
Navsehir Haci Bektas Veli University
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Islam W Alsaraireh
Universiti Sultan Zainal Abidin
Mustafa Mamat
Universiti Sultan Zainal Abidin

Abstract

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.

Peer review status:Published

Mar 2021Published in Optical and Quantum Electronics volume 53 issue 3. 10.1007/s11082-021-02782-6