A variety of new optical soliton solutions related to the nonlinear Schrödinger equation with time-dependent coefficients

MS Osman, KK Ali, JF Gómez-Aguilar - Optik, 2020 - Elsevier
A variety of soliton solutions of a common shape of the nonlinear Schrödinger equation with
time-dependent coefficients is investigated via the extended tanh expansion method. This …

A parametric method optimised for the solution of the (2+ 1)-dimensional nonlinear Schrödinger equation

ZA Anastassi, AA Kosti, MA Rufai - Mathematics, 2023 - mdpi.com
We investigate the numerical solution of the nonlinear Schrödinger equation in two spatial
dimensions and one temporal dimension. We develop a parametric Runge–Kutta method …

[HTML][HTML] Analytical method for generalized nonlinear Schrödinger equation with time-varying coefficients: Lax representation, Riemann-Hilbert problem solutions

B Xu, S Zhang - Mathematics, 2022 - mdpi.com
In this paper, a generalized nonlinear Schrödinger (gNLS) equation with time-varying
coefficients is analytically studied using its Lax representation and the associated Riemann …

A Novel Optical-Based Methodology for Improving Nonlinear Fourier Transform

J Hoxha, WHF Aly, E Dida, I Kertusha, M AlAkkoumi - Mathematics, 2022 - mdpi.com
The increasing demand for bandwidth and long-haul transmission has led to new methods
of signal processing and transmission in optical fiber communication systems. The nonlinear …