• 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