Optical solitons to fractal nonlinear Schrödinger equation with non-Kerr law nonlinearity in magneto-optic waveguides
DOI:
https://doi.org/10.31349/RevMexFis.68.020707Keywords:
Variational principle, Painleve approach, nonlinear Schrödinger equation, solitons, quadratic-cubic nonlinearityAbstract
This paper introduces the fractal model of the nonlinear Schrodinger equation with quadratic-cubic nonlinearity in magneto-optic waveguides that has many applications in fiber optics. He's variational approach and Painleve technique are used to attain soliton solutions of the governing system. Thus bright and kink solitons are retrieved. The constraint conditions that ensure the existence of these solitons arise naturally from the model's solution structure. The fractal parameter eect on these solitons is portrayed by 2D and 3D graphical illustrations. These techniques may be very useful and ecient gadgets for solving nonlinear fractal dierential equations that emerge in mathematical physics.
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