Title of article :
Resonant solitons solutions to the time M-fractional Schrödinger equation
Author/Authors :
Ilie ، Mousa Department of Mathematics - Islamic Azad University, Rasht Branch , Khoshkenar ، Ali Department of Mathematics - Islamic Azad University, Rasht Branch
From page :
197
To page :
210
Abstract :
In this research the time Mfractional resonant nonlinear Schrödinger differential equation with different forms of nonlinearities, containing Kerrlaw and paraboliclaw has been studied. For this objective, the modified Kudryashov method and the sineGordon 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 timefractional equations in the truncated Mfractional derivative sense is confirmed.
Keywords :
Resonant nonlinear Schrö dinger equation , Truncated M-fractional derivative , Kerr-law nonlinearity , Parabolic-law nonlinearity , Modified Kudryashov method , Sine-Gordon expansion approach , Soliton solutions
Journal title :
IJO: Iranian Journal of Optimization
Journal title :
IJO: Iranian Journal of Optimization
Record number :
2732086
Link To Document :
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