Resonant solitons solutions to the time M-fractional Schrödinger equation
محورهای موضوعی : Mathematical Engineering
موسی ایلی
1
(گروه ریاضی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران)
علی خوش کنار
2
(گروه ریاضی، واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران)
کلید واژه: Truncated M-fractional derivative, Kerr-law nonlinearity, Parabolic-law nonlinearity, Modified Kudryashov method, Sine-Gordon expansion approach, Soliton solutions, Resonant nonlinear Schrö dinger equation,
چکیده مقاله :
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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