Abstract

RAZA, N.; YASMEEN, A.  and  INC, M.. Optical solitons to fractal nonlinear Schrödinger equation with non-Kerr law nonlinearity in magneto-optic waveguides. Rev. mex. fis. [online]. 2022, vol.68, n.2, e020707.  Epub Mar 27, 2023. ISSN 0035-001X.  https://doi.org/10.31349/revmexfis.68.020707.

This paper introduces the fractal model of the nonlinear Schrödinger equation with quadratic-cubic nonlinearity in magneto-optic waveguides, having plenty of applications in fiber optics. He’s variational approach and Painleve technique are used to obtain bright and kink soliton solutions of the governing system. The constraint conditions that ensure the existence of these solitons arise naturally from the model’s solution structure. To quantify the behavior of different solutions, the effect of the fractal parameter is studied. These techniques may be very useful and efficient tools for solving nonlinear fractal differential equations that emerge in mathematical physics.

Keywords : Variational principle; Painleve approach; nonlinear Schrödinger equation; solitons; quadratic-cubic nonlinearity.