We demonstrate that the competing cubic-quintic nonlinearity induces propagating
solitonlike dark (bright) solitons and double-kink solitons in the nonlinear Schrödinger …

We consider a high-order nonlinear Schrödinger equation with competing cubic–quintic–
septic nonlinearities, non-Kerr quintic nonlinearity, self-steepening, and self-frequency shift …

A class of derivative nonlinear Schrödinger equation with cubic-quintic-septic-nonic
nonlinear terms describing the propagation of ultrashort optical pulses through a nonlinear …

We present a generalization of the often-used Crank-Nicolson (CN) method of obtaining
numerical solutions of the time-dependent Schrödinger equation. The generalization yields …

In this work, we focus on investigating the traveling and other localized solitary wave
propagation in nonlinear low-pass electrical transmission lines model practicing the new …

This work presents a mathematical modeling of chirped modulated waves propagating
along a two-dimensional nonlinear electrical transmission line consisting of nonlinear …

A generalized nonlinear Schrödinger equation with polynomial Kerr nonlinearity and non-
Kerr terms of an arbitrarily higher order is investigated. This model can be applied to the …

We find exact solutions to the nonlinear Schrödinger equation (NLSE) in the presence of self-
steepening and a self-frequency shift. These include periodic solutions and localized …

We study the existence and propagation properties of chirped localized pulses in a highly
nonlinear fiber medium exhibiting self-steepening, self-frequency shift, and quintic non-Kerr …

We investigate a generalized nonlinear Schrödinger equation with higher-order effects such
as pseudo-quintic nonlinearity and self-steepening effect. The model applies to the …