Non-linear soliton solutions of perturbed Chen-Lee-Liu model by model expansion approach

WA Faridi, MI Asjad, F Jarad - Optical and Quantum Electronics, 2022 - Springer
This study deals with the perturbed Chen-Lee-Liu governing mode which portrays the
propagating phenomena of the optical pulses in the discipline of optical fiber and plasma …

[HTML][HTML] Numerical solutions of fractional-order electrical rlc circuit equations via three numerical techniques

U Arshad, M Sultana, AH Ali, O Bazighifan… - Mathematics, 2022 - mdpi.com
In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA),
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …

Optimal system, invariance analysis of fourth-Order nonlinear ablowitz-Kaup-Newell-Segur water wave dynamical equation using lie symmetry approach

M Devi, S Yadav, R Arora - Applied Mathematics and Computation, 2021 - Elsevier
Nonlinear science is very common and important natural phenomenon in our surroundings.
It is quite possible to find a large number of phenomena, which become a cause of the …

[HTML][HTML] New efficient computations with symmetrical and dynamic analysis for solving higher-order fractional partial differential equations

M Sultana, U Arshad, AH Ali, O Bazighifan… - Symmetry, 2022 - mdpi.com
Due to the rapid development of theoretical and computational techniques in the recent
years, the role of nonlinearity in dynamical systems has attracted increasing interest and has …

On nonlocal fractal laminar steady and unsteady flows

RA El-Nabulsi - Acta Mechanica, 2021 - Springer
In this study, we join the concept of fractality introduced by Li and Ostoja-Starzewski with the
concept of nonlocality to produce a new set of nonlocal fractal fluid equations of motion. Both …

An optimal decomposition method for analytical and numerical solution of third-order Emden–Fowler type equations

R Singh, M Singh - Journal of Computational Science, 2022 - Elsevier
The current study formulated an optimal decomposition approach to solve different nonlinear
third-order Emden–Fowler equations that arise in various scientific applications. To avoid …

[HTML][HTML] An improved criterion for the oscillation of fourth-order differential equations

O Bazighifan, M Ruggieri, A Scapellato - Mathematics, 2020 - mdpi.com
The main purpose of this manuscript is to show asymptotic properties of a class of differential
equations with variable coefficients r ν w‴ ν β′+∑ i= 1 jqi ν y κ gi ν= 0, where ν≥ ν 0 and w …

On the oscillatory behavior of a class of fourth-order nonlinear differential equation

O Moaaz, P Kumam, O Bazighifan - Symmetry, 2020 - mdpi.com
In this work, we study the oscillatory behavior of a class of fourth-order differential equations.
New oscillation criteria were obtained by employing a refinement of the Riccati …

Improved conditions for oscillation of functional nonlinear differential equations

O Bazighifan, M Postolache - Mathematics, 2020 - mdpi.com
The aim of this work is to study oscillatory properties of a class of fourth-order delay
differential equations. New oscillation criteria are obtained by using generalized Riccati …

Transition from circular to spiral waves and from Mexican hat to upside-down Mexican hat-solutions: The cases of local and nonlocal λ− ω reaction-diffusion …

RA El-Nabulsi - Chaos, Solitons & Fractals, 2024 - Elsevier
Nonlinear partial differential equations admitting traveling wave solutions play an important
role in the description and analysis of real-life physical processes and nonlinear …