Purpose: In the last decades, many researchers have performed their best in order to find
the solution of the nonlinear evolution equations, nonlinear partial differential equations …

Objective–The main objective of this paper is to investigate analytic soliton solutions of a
nonlinear Schrödinger equation (NLSE), including Kudryashov's sextic power-law …

We introduce optical soliton solutions of the Kundu–Mukherjee–Naskar (KMN) equation by
using the Sardar subequation (SSM) and the new Kudryashov methods (nKM). The KMN …

The main purpose of this paper is to study the dynamical behaviors and optical solitons in
DWDM networks with Schrödinger–Hirota equation. First of all, the Schrödinger–Hirota …

Modelling the movement of waves and the propagation of waves is extremely important in
the field of fluid dynamics. All types of waves phenomena are very important in real-life …

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

This paper obtains soliton solutions to optical couplers by two methods. These are sine–
cosine function method and Bernoulli's equation approach. There are four laws that are …

In this paper, the auxiliary equation method is applied to obtain analytical solutions of (2+ 1)-
dimensional time-fractional Zoomeron equation and the time-fractional third order modified …

The presented work deals with the investigation of Biswas–Arshed model which has great
importance in the theory of solitons. The proficient approach, namely, modified auxiliary …

In this paper, we consider the conformable resonant nonlinear Schrödinger equation
(CRNLSE) incorporating Kerr law nonlinearity and provide some new analytical solutions …