An encyclopedia of Kudryashov's integrability approaches applicable to optoelectronic devices
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 …
the solution of the nonlinear evolution equations, nonlinear partial differential equations …
Optical solitons with Kudryashov's sextic power-law nonlinearity
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 …
nonlinear Schrödinger equation (NLSE), including Kudryashov's sextic power-law …
On the optical soliton solutions of Kundu–Mukherjee–Naskar equation via two different analytical methods
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 …
using the Sardar subequation (SSM) and the new Kudryashov methods (nKM). The KMN …
Bifurcations and dispersive optical solitons for the nonlinear Schrödinger–Hirota equation in DWDM networks
L Tang - Optik, 2022 - Elsevier
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 …
DWDM networks with Schrödinger–Hirota equation. First of all, the Schrödinger–Hirota …
A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index
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 field of fluid dynamics. All types of waves phenomena are very important in real-life …
Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities
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. Resonant nonlinear Schrödinger equation describes the wave propagation in …
Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli's equation approach
M Mirzazadeh, M Eslami, E Zerrad, MF Mahmood… - Nonlinear …, 2015 - Springer
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 …
cosine function method and Bernoulli's equation approach. There are four laws that are …
[HTML][HTML] Auxiliary equation method for time-fractional differential equations with conformable derivative
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 …
dimensional time-fractional Zoomeron equation and the time-fractional third order modified …
The dynamical study of Biswas–Arshed equation via modified auxiliary equation method
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 …
importance in the theory of solitons. The proficient approach, namely, modified auxiliary …
Dynamics of exact solutions of nonlinear resonant Schrödinger equation utilizing conformable derivatives and stability analysis
J Ahmad, Z Mustafa - The European Physical Journal D, 2023 - Springer
In this paper, we consider the conformable resonant nonlinear Schrödinger equation
(CRNLSE) incorporating Kerr law nonlinearity and provide some new analytical solutions …
(CRNLSE) incorporating Kerr law nonlinearity and provide some new analytical solutions …