General solitons for eighth-order dispersive nonlinear Schrödinger equation with ninth-power law nonlinearity using improved modified extended tanh method

I Samir, A Abd-Elmonem, HM Ahmed - Optical and Quantum Electronics, 2023 - Springer
Higher-order nonlinear Schrödinger equation is necessarily needed to suit with the light
propagation in optical fibers, wherein the effect of higher-order nonlinear and dispersive …

Analytical soliton solutions of the higher order cubic-quintic nonlinear Schrödinger equation and the influence of the model's parameters

H Esen, A Secer, M Ozisik, M Bayram - Journal of Applied Physics, 2022 - pubs.aip.org
In this paper, we present the higher-order nonlinear Schrödinger equation (NLSE) with third
order dispersion (3OD), fourth-order dispersion (4OD), and cubic-quintic nonlinearity …

[HTML][HTML] Analysing soliton dynamics and a comparative study of fractional derivatives in the nonlinear fractional Kudryashov's equation

A Fahad, SM Boulaaras, HU Rehman, I Iqbal… - Results in Physics, 2023 - Elsevier
In this scholarly exploration, we employ new map** method to unveil new soliton solutions
to the nonlinear fractional Kudryashov's equation, using β-derivative and M-Truncated …

Optical solitons of Biswas-Arshed equation in birefringent fibers using extended direct algebraic method

HU Rehman, N Ullah, MA Imran - Optik, 2021 - Elsevier
In this paper, we applied the extended direct algebraic method (EDAM) to examine the dark,
singular, combined dark-bright, combined bright-singular and periodic singular solitons as …

Optical soliton for -dimensional coupled integrable NLSE using Sardar-subequation method

HU Rehman, S Yasin, I Iqbal - Modern Physics Letters B, 2024 - World Scientific
The (2+ 1)-dimensional coupled nonlinear Schrödinger equation has versatile applications
for modeling nonlinear waves in different areas such as optics, atmospheric science, fluid …

Practical analytical approaches for finding novel optical solitons in the single-mode fibers

WX Ma, MS Osman, S Arshed, N Raza… - Chinese Journal of …, 2021 - Elsevier
In this work, under consideration is a (2+ 1)-dimensional generic model, known as the Hirota-
Maccari system, which was studied in plasma physics, fluid dynamics and fiber optics …

Investigating the dynamics of soliton solutions to the fractional coupled nonlinear Schrödinger model with their bifurcation and stability analysis

A Ali, J Ahmad, S Javed - Optical and Quantum Electronics, 2023 - Springer
The fractional coupled nonlinear Schrödinger model (FCNLSM) is widely utilized in various
fields such as nonlinear optics, optical communication systems, plasmas and mathematical …

The fourth-order dispersion effect on the soliton waves and soliton stabilities for the cubic-quintic Gross–Pitaevskii equation

L Li, F Yu - Chaos, Solitons & Fractals, 2024 - Elsevier
A generalized nonlinear Gross–Pitaevskii equation with the third-, fourth-order dispersions,
and the cubic, quintic nonlinear terms is considered, which shows that the wave velocity …

On soliton solutions of fractional-order nonlinear model appears in physical sciences

N Ullah, MI Asjad, J Awrejcewicz, T Muhammad… - 2022 - earsiv.cankaya.edu.tr
In wave theory, the higher dimensional non-linear models are very important to define the
physical phenomena of waves. Herein study we have built the various solitons solutions of …

[PDF][PDF] Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise

HU Rehman, AU Awan, SM Eldin, I Iqbal - AIMS Math., 2023 - aimspress.com
In many nonlinear partial differential equations, noise or random fluctuation is an inherent
part of the system being modeled and have vast applications in different areas of …