The effect of Brownian motion and noise strength on solutions of stochastic Bogoyavlenskii model alongside conformable fractional derivative

MT Islam, S Ryehan, FA Abdullah, JF Gómez-Aguilar - Optik, 2023 - Elsevier
Fractional order models involving nonlinearity are remarkable for having substantial
application in real-world. The present determination is due to obtain applicable wave …

Geometrical patterns of time variable Kadomtsev–Petviashvili (I) equation that models dynamics of waves in thin films with high surface tension

HF Ismael, TA Sulaiman, HR Nabi, W Mahmoud… - Nonlinear …, 2023 - Springer
Lump solutions are a prominent option for numerous models of nonlinear evolution. The
intention of this research is to explore the variable coefficients Kadomtsev–Petviashvili …

Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study

WA Faridi, GH Tipu, Z Myrzakulova… - Optical and Quantum …, 2024 - Springer
This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …

A variety of optical soliton solutions for the M-truncated Paraxial wave equation using Sardar-subequation technique

T Rasool, R Hussain, MA Al Sharif, W Mahmoud… - Optical and Quantum …, 2023 - Springer
To generate different optical soliton solutions of the Paraxial wave equation with fractional
time dependence, a well-known Sardar-subequation technique is used. The M-truncated …

[HTML][HTML] New waves solutions of a nonlinear Landau–Ginzburg–Higgs equation: The Sardar-subequation and energy balance approaches

S Ahmad, EE Mahmoud, S Saifullah, A Ullah, S Ahmad… - Results in Physics, 2023 - Elsevier
This article investigates the significance of the unsteady nonlinear Landau–Ginzburg–Higgs
equation in the context of superfluids and Bose–Einstein condensates. The problem of …

Characteristics of dynamic waves in incompressible fluid regarding nonlinear Boiti-Leon-Manna-Pempinelli model

MT Islam, TR Sarkar, FA Abdullah… - Physica …, 2023 - iopscience.iop.org
Distinct models involving nonlinearity are mostly appreciated for illustrating intricate
phenomena arise in the nature. The new (3+ 1)-dimensional generalized nonlinear Boiti …

Discovering novel soliton solutions for (3+ 1)-modified fractional Zakharov–Kuznetsov equation in electrical engineering through an analytical approach

M Alqhtani, KM Saad, R Shah… - Optical and Quantum …, 2023 - Springer
In recent years, the modified Extended Direct Algebraic Method (mEDAM) has demonstrated
to be an effective method for finding novel soliton solutions to nonlinear Fractional Partial …

[HTML][HTML] Optical waves solutions for the perturbed Fokas–Lenells equation through two different methods

KK Ali, A Yusuf, A Yokus, MR Ali - Results in Physics, 2023 - Elsevier
This study examines the perturbed Fokas–Lenells equation using two methods: the
Bernoulli sub-equation function method and the 1/G′-expansion method. A traveling wave …

Analysis of soliton solutions with different wave configurations to the fractional coupled nonlinear Schrödinger equations and applications

J Ahmad, Z Mustafa - Optical and Quantum Electronics, 2023 - Springer
In this research, we address the problem of solving (1+ 1)-dimensional fractional coupled
nonlinear Schrödinger equations (FCNLSE) with beta derivatives, which are essential for …

Analyzing dispersive optical solitons in nonlinear models using an analytical technique and its applications

J Ahmad, Z Mustafa, J Habib - Optical and Quantum Electronics, 2024 - Springer
The article focuses on exploring three distinct equations: the Jimbo-Miwa equation (JME),
the generalized shallow water equation (GSWE), and the Hirota-Satsuma-Ito equation …