Novel analytical approximations to the nonplanar Kawahara equation and its plasma applications

MR Alharthi, RA Alharbey, SA El-Tantawy - The European Physical …, 2022 - Springer
In this paper, some novel analytical approximations to a completely non-integrable
nonplanar (cylindrical and spherical) Kawahara equation (nKE) are derived. Using the …

Hirota bilinear method and multi-soliton interaction of electrostatic waves driven by cubic nonlinearity in pair-ion–electron plasmas

N Batool, W Masood, M Siddiq, AW Alrowaily… - Physics of …, 2023 - pubs.aip.org
Multi-soliton interaction of nonlinear ion sound waves in a pair-ion–electron (PIE) plasma
having non-Maxwellian electrons including Kappa, Cairns, and generalized two spectral …

Formation and interaction of multi-dimensional electrostatic ion-acoustic solitons in two-electron temperature plasmas

M Shohaib, W Masood, HA Alyousef, M Siddiq… - Physics of …, 2022 - pubs.aip.org
Ion-acoustic waves are investigated in an unmagnetized collisionless plasma comprising
dynamical ions and inertialess cold and hot (C–H) electrons expressed by Maxwellian …

Bäcklund transformation for analyzing a cylindrical Korteweg–de Vries equation and investigating multiple soliton solutions in a plasma

MS Tariq, W Masood, M Siddiq, S Asghar… - Physics of …, 2023 - pubs.aip.org
The presence of the geometrical curvature makes the planar Korteweg–de Vries (KdV)
equation inadequate to describe the propagation of nonlinear waves. In many scientific …

Effect of κ-deformed Kaniadakis distribution on the modulational instability of electron-acoustic waves in a non-Maxwellian plasma

M Irshad, AR Ata-ur-Rahman, M Khalid, S Khan… - Physics of …, 2023 - pubs.aip.org
In this paper, the modulational instability (MI) of the high-frequency electron-acoustic waves
(EAWs) is reported in a non-Maxwellian plasma composed of two distinct types of electrons …

Nonplanar ion-acoustic solitary and cnoidal waves in a non-Maxwellian plasma: Study on nonplanar (modified) Kawahara equation

SA Almutlak, M Khalid… - Journal of Low …, 2024 - journals.sagepub.com
This study aims to examine the properties of the nonplanar (cylindrical and spherical) ion-
acoustic solitary waves (SWs) and cnoidal waves (CWs) in a collisionless, unmagnetized …

[HTML][HTML] On the solutions of the fractional-order Sawada–Kotera–Ito equation and modeling nonlinear structures in fluid mediums

H Yasmin, M Abu Hammad, R Shah, BM Alotaibi… - Symmetry, 2023 - mdpi.com
This study investigates the wave solutions of the time-fractional Sawada–Kotera–Ito
equation (SKIE) that arise in shallow water and many other fluid mediums by utilizing some …

[HTML][HTML] Complete discrimination system method for finding exact solutions, dynamical properties of combined Zakharsov-Kuznetsov-modified Zakarsov-Kuznetsov …

S Raut, S Saha, AN Das, P Talukder - Alexandria Engineering Journal, 2023 - Elsevier
Abstract The (2+ 1)-dimensional combined Zakharsov-Kuznetsov-modified Zakarsov-
Kuznetsov (ZK-mZK) equation with constant co-efficients are solved by employing the …

[HTML][HTML] Analytical analysis of fractional nonlinear Jaulent-Miodek system with energy-dependent Schrödinger potential

MA Hammad, AW Alrowaily, R Shah… - Frontiers in …, 2023 - frontiersin.org
In this work, a novel technique is considered for analyzing the fractional-order Jaulent-
Miodek system. The suggested approach is based on the use of the residual power series …

New graphical observations for KdV equation and KdV–Burgers equation using modified auxiliary equation method

G Akram, M Sadaf, I Zainab - Modern Physics Letters B, 2022 - World Scientific
This study is made to extract the exact solutions of Korteweg–de Vries–Burgers (KdVB)
equation and Korteweg–de Vries (KdV) equation. The original idea of this work is to …