The $(G^{\prime}/G)$-expansion method for solving nonlinear Schrödinger equation in bi-isotropic fiber

Abbes Ourahmoun

Optics and Mechanics Precision Institute, University of Setif 1, Algeria

Abstract: Bi-isotropic mediums present an outstanding challenge for the scientific community, their characteristics have permitted the appearance of new and stupefying applications. In this paper, we are interested in the novel effect of chirality, which characterized through new proposed formalism, to highlight the nonlinear effect, is due to the magnetization vector under the influence of a strong electric field. We apply in this work the extended $(G^{\prime}/G)$-expansion method with varying dispersion, nonlinearity to determine some family of solutions of nonlinear Schrödinger equation in bi-isotropic optical fiber, which illustrate the propagation of light with two modes of propagation, a right circular polarized wave (RCP) and a left circular polarized wave (LCP) having two different wave vectors in nonlinear bi-isotropic medium. Various novel exact solutions of bi-isotropic optical soliton are reported.

Keywords: nonlinear Schrödinger equation, the $(G^{\prime}/G)$-expansion method, bi-isotropic fiber, bi-isotropic media.

UDC: 517.9

Received: 10.06.2025
Received in revised form: 05.08.2025
Accepted: 14.09.2025

Language: English