Optical solitons for the decoupled nonlinear Schrödinger equation using Jacobi elliptic approach

Abstract

Most of the important aspects of soliton propagation through optical fibers for transcontinental and transoceanic long distances can best be described using the nonlinear Schrödinger equation. Optical solitons are electromagnetic waves that span in nonlinear dispersive media and permit the stress and intensity to stay unaltered as a result of the delicate balance between dispersion and nonlinearity effects. However, this study exploited the Jacobi elliptic method and obtained different soliton solutions of the decoupled nonlinear Schrödinger equation with ease. Discussions about the obtained solutions were made with the aid of some 3D graphs.

A ∂¯-Dressing Method for the Kundu-Nonlinear Schrödinger Equation

“…In the field of mathematics, the study of nonlinear equations with variable coefficients has also led to the further development of integrable systems. The similar transformation technique, Wronskian technique, Jacobi elliptic approach, and direct algebraic method can solve the nonlinear Schrodinger equation with variable coefficients [7][8][9][10]. By using the similar transformation technique, we can solve the optically smooth position solution of the nonlinear Schrodinger equation with variable coefficients.…”

Dynamic investigation of the Laksmanan–Porsezian–Daniel model with Kerr, parabolic, and anti-cubic laws of nonlinearities

“…The optical soliton theory is used in many applications of telecommunications, ocean engineering, and other areas of science [6][7][8].The nonlinear Schrödinger equation and its different modified forms have been explored by many researchers to understand the light propagation through optical media. Some recent studies have reported useful results on the optical soliton theory using the ansatz method [9], Jacobi elliptic method [10], extended tanh-coth expansion technique [11], and Kudryashov expansion technique [12].…”