The present paper suggests a novel technique to acquire exact solutions of nonlinear partial
differential equations. The main idea of the method is to generalize the exponential rational …

Traveling wave reduction of the resonant nonlinear Schrödinger equation with arbitrary
refractive index is considered. The system of equations for real and imaginary parts is …

The dynamical behavior of the resonant nonlinear Schrödinger equation is investigated in
this paper. Resonant nonlinear Schrödinger equation describes the wave propagation in …

The main goal of the present paper is to steer an investigation on the dynamics of soliton
solutions of a nonlinear model in the monomode optical fibers. In this respect, first, soliton …

This paper considers the Biswas–Arshed equation (BAE) with the beta time derivative and
investigates its optical solitons and other solutions in the presence of high order dispersions …

The dynamics of solitons in the perturbed Gerdjikov–Ivanov (PGI) equation is explored in the
current work. The investigation is carried out formally by considering particular …

In the present paper, high-order nonlinear Schrödinger equations in non-Kerr law media
with different laws of nonlinearities are studied. In this respect, after considering a complex …

In optical fibers, the higher order nonlinear Schrödinger equations describe propagation of
ultra-short pluse. The proposed modified simple equation method is employed to the …

In this paper, the resonant nonlinear Schrödinger's equation is studied with four forms of
nonlinearity and time-dependent coefficients. The trial solution method is employed to solve …

This paper utilizes trial solution algorithm to secure optical soliton solutions to the nonlinear
Schrödinger's equation. Bright, dark and singular soliton solutions are obtained to the model …