Resonant solitons solutions to the time M-fractional Schrödinger equation
Subject Areas : Mathematical Engineering
Mousa Ilie
1
,
Ali Khoshkenar
2
1 -
2 -
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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