Resonant solitons solutions to the time M-fractional Schrödinger equation

Subject Areas : Mathematical Engineering

Mousa Ilie ¹ , Ali Khoshkenar ²

1 - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
2 - Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

Received: 2021-11-13 Accepted : 2022-04-16 Published : 2021-09-01

Keywords: Truncated M-fractional derivative, Kerr-law nonlinearity, Parabolic-law nonlinearity, Modified Kudryashov method, Sine-Gordon expansion approach, Soliton solutions, Resonant nonlinear Schrö dinger equation,

Abstract :

In this research the time M-fractional resonant nonlinear Schrödinger differential equation with different forms of nonlinearities, containing Kerr-law and parabolic-law has been studied. For this objective, the modified Kudryashov method and the sine-Gordon expansion approach have been implemented to retrieve a series of resonant solitons solutions for the abovementioned model. The prospective of the schemes in founding soliton solutions of nonlinear time-fractional equations in the truncated M-fractional derivative sense is confirmed.

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