Resonant solitons solutions to the time M-fractional Schrödinger equation

Iranian Journal of Optimization

دوره 13، شماره 3، آذر 2021، صفحه 197-210   

نوع مقاله: Research Paper

نویسندگان

Mousa Ilie^* ؛ Ali Khoshkenar

Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

چکیده

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.

کلیدواژه‌ها

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

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