Paper's Title:

The Projective Riccati Equations Method for Solving Nonlinear Schrodinger Equation in Bi-Isotropic Fiber

Author(s):

A. Ourahmoun, Z. Mezache

 Optics and Precision Mechanics Institute of Setif,
Algeria.
E-mail: abbes.ourahmoun@univ-setif.dz
zinemezaache@yahoo.fr
 

Abstract:

Bi-isotropic materials, characterized by their chiral and non-reciprocal nature, present unique challenges and opportunities in scientific research, driving the development of cutting-edge applications. In this paper, we explore the influence of chirality using a newly developed framework that emphasizes the nonlinear effects arising from the magnetization vector under a strong electric field. Our research introduces a novel formulation of constitutive relations and delves into the analysis of solutions for the nonlinear Schr\"{o}dinger equation, which governs pulse propagation in nonlinear bi-isotropic media. By employing the Projective Riccati Equation Method with variable dispersion and nonlinearity, we systematically derive families of solutions to the nonlinear Schr\"{o}dinger equation in chiral and non-reciprocal optical fibers. This approach provides valuable insights into the propagation of light in two polarization modes right circularly polarized (RCP) and left circularly polarized (LCP) each associated with distinct wave vectors in nonlinear bi-isotropic environments. The study presents several new exact solutions of optical solitons within these media.

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