55 citations · 134 across the 11 of their papers we have counts for
11 papers
Structural Requirements for Ion-Acoustic Double Layers: A Parametric Perturbation Analysis of the Maxwellian Limit
Hamdi M. Abdelhamid, Abeer A. Mahmoud, Naoki Sato
Standard Maxwellian plasmas exhibit a mathematical \textit{rigidity}, possessing insufficient degrees of freedom to support electrostatic double layers (DLs) and yielding only soli…
Incompressible Extended Magnetohydrodynamics Waves: Implications of Electron Inertia
Noura E. Shorba, Abeer A. Mahmoud, Hamdi M. Abdelhamid
This paper explores plasma wave modes using the extended magnetohydrodynamics (XMHD) model, incorporating Hall drift and electron inertia effects. We utilize the geometric optics a…
Hamiltonian formulation of X-point collapse in an extended magnetohydrodynamics framework
Hamdi M. Abdelhamid, Manasvi Lingam
The study of X-point collapse in magnetic reconnection has witnessed extensive research in the context of space and laboratory plasmas. In this paper, a recently derived mathematic…
Structure and computation of two-dimensional incompressible extended MHD
D. Grasso, E. Tassi, H. M. Abdelhamid +1
A comprehensive study of a reduced version of Lust's equations, the extended magnetohydrodynamic (XMHD) model obtained from the two-fluid theory for electrons and ions with the enf…
Nonlinear Helicons ---an analytical solution elucidating multi-scale structure
Hamdi M. Abdelhamid, Zensho Yoshida
The helicon waves exhibit varying characters depending on plasma parameters, geometry, and wave numbers. Here we elucidate an intrinsic multi-scale property embodied by the combina…
Extended MHD turbulence and its applications to the solar wind
Hamdi M. Abdelhamid, Manasvi Lingam, Swadesh M. Mahajan
Extended MHD is a one-fluid model that incorporates two-fluid effects such as electron inertia and the Hall drift. This model is used to construct fully nonlinear Alfvénic wave sol…
Multi-region relaxed Hall magnetohydrodynamics with flow
Manasvi Lingam, Hamdi M. Abdelhamid, Stuart R. Hudson
The recent formulations of multi-region relaxed magnetohydrodynamics (MRxMHD) have generalized the famous Woltjer-Taylor states by incorporating a collection of "ideal barriers" th…
Nonlinear Alfvén waves in extended magnetohydrodynamics
Hamdi M. Abdelhamid, Zensho Yoshida
Large-amplitude Alfvén waves are observed in various systems in space and laboratories, demonstrating an interesting property that the wave shapes are stable even in the nonlinear…
Hamiltonian Formalism of Extended Magnetohydrodynamics
Hamdi M. Abdelhamid, Yohei Kawazura, Zensho Yoshida
The extended magnetohydrodynamics (MHD) system, including the Hall effect and the electron inertia effect, has a Hamiltonian structure embodied by a noncanonical Poisson algebra on…
Solitary, explosive and rational solutions for nonlinear electron-acoustic waves with non-thermal electrons
S. A. El-Wakil, E. K. El-Shewy, H. M. Abd-El-Hamid +1
A rigorous theoretical investigation has been made on electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid, non-thermal hot e…
Solitary, explosive, rational and elliptic doubly periodic solutions for nonlinear electron-acoustic waves in the earth's magnetotail region
S. A. El-Wakil, E. M. Abulwafa, E. K. El-Shewy +1
A theoretical investigation has been made of electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid and isothermal ions with tw…