An nonlinear fourth-order equation for describing the pulse propagation in an optical fiber is
considered. Equation generalizes a number of well-known mathematical models in …

The generalized Schrödinger equation with a new form of arbitrary refractive indices for the
description of propagation pulse in an optical fiber is considered. Exact solutions of the …

Application of transformations for dependent and independent variables is used for finding
solitary wave solutions of the generalized Schrödinger equations. This new form of equation …

Purpose: The aim of this study is to introduce the stochastic dispersive Schrödinger–Hirota
equation with parabolic law nonlinearity (SHEPL) with multiplicative white noise via Ito …

This paper investigates the analytical solutions of the perturbed nonlinear Schrödinger
equation through the modified Khater method. This method is considered one of the most …

The equation for propagation pulse with power nonlinearities is studied. The first integrals of
equations corresponding to the real and imaginary parts are presented. By means of the first …

This paper secures and enumerates soliton solutions to Kudryashov's equation. Bright, dark
and singular optical soliton solutions have been listed for the model that are recovered by …

The present paper derives highly dispersive soliton solutions in a coupler from optical
metamaterials with Kerr law of nonlinear refractive index. In nonlinear optics and photonics …

The higher order nonlinear Schrödinger equation (NLSE) describes ultrashort pulse
propagation in optical fibres. In this paper, we discuss analytically the non-linear …

This article aims to identify solitary wave solutions to a nonlinear Kudryashov's equation
utilizing an exponential rational function method and Painlevé approach. This model is used …