Chaotic behaviour of fractional predator-prey dynamical system

S Kumar, R Kumar, C Cattani, B Samet - Chaos, Solitons & Fractals, 2020 - Elsevier
In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …

[HTML][HTML] Non classical interaction aspects to a nonlinear physical model

HF Ismael, U Younas, TA Sulaiman, N Nasreen… - Results in Physics, 2023 - Elsevier
This study deals the dynamics of waves to the conformable fractional (2+ 1)-dimensional
Nizhnik–Novikov–Veselov (NNV) equations. The (2+ 1)-dimensional NNV equations are the …

On the study of optical soliton solutions to the three-component coupled nonlinear Schrödinger equation: applications in fiber optics

U Younas, TA Sulaiman, J Ren - Optical and Quantum Electronics, 2023 - Springer
In this article, we have discussed the three-component coupled nonlinear Schrodinger
equation which governs the optical solitons in fiber optics. There has been an increasing …

Heart-cusp and bell-shaped-cusp optical solitons for an extended two-mode version of the complex Hirota model: application in optics

M Alquran, I Jaradat, A Yusuf, TA Sulaiman - Optical and Quantum …, 2021 - Springer
In this work, we present a new two-mode version to the complex Hirota equation. This new
model arises in many applications in the field of optics, communications and other …

Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber

I Jaradat, TA Sulaiman, AS Alshomrani, A Yusuf… - Optical and Quantum …, 2023 - Springer
We examine the three-component coupled nonlinear Schrodinger equation that is used for
the propagation of pulses to the nonlinear optical fiber. Multi-component NLSE equations …

Solution of fractional Volterra–Fredholm integro-differential equations under mixed boundary conditions by using the HOBW method

MR Ali, AR Hadhoud, HM Srivastava - Advances in Difference Equations, 2019 - Springer
A new approximate technique is introduced to find a solution of FVFIDE with mixed
boundary conditions. This paper started from the meaning of Caputo fractional differential …

Construction of Lump and optical solitons solutions for (3+ 1) model for the propagation of nonlinear dispersive waves in inhomogeneous media

MR Ali, R Sadat - Optical and Quantum Electronics, 2021 - Springer
Our work aims to investigate new solutions for the (3+ 1)-dimensional Extended Date–Jimbo–
Kashiwara–Miwa Equation which characterize the physical phenomena owing to the …

Kink-soliton, singular-kink-soliton and singular-periodic solutions for a new two-mode version of the Burger–Huxley model: applications in nerve fibers and liquid …

M Alquran, TA Sulaiman, A Yusuf - Optical and Quantum Electronics, 2021 - Springer
New two-mode version of the generalized Burger–Huxley equation is derived using
Korsunsky's operators. The new model arises in the applications of nerve fibers and liquid …

Legendre wavelet method based solution of fractional order prey–predator model in type-2 fuzzy environment

D Mohapatra, S Chakraverty - Applied Soft Computing, 2024 - Elsevier
Researchers have recently examined several fractional-order prey–predator population
models in a crisp or type-1 fuzzy environment. But incompleteness in the membership may …

New Exact Solutions of Nonlinear (3+ 1)‐Dimensional Boiti‐Leon‐Manna‐Pempinelli Equation

MR Ali, WX Ma - Advances in Mathematical Physics, 2019 - Wiley Online Library
Based on Hirota's bilinear structure, we evolute a new protuberance type arrangement of the
(3+ 1)‐dimensional Boiti‐Boiti‐Leon‐Manna‐Pempinelli equation, which depicts nonlinear …