| Issue |
EPL
Volume 155, Number 1, July 2026
|
|
|---|---|---|
| Article Number | 14004 | |
| Number of page(s) | 6 | |
| Section | Nuclear and plasma physics, particles and fields | |
| DOI | https://doi.org/10.1209/0295-5075/ae72c1 | |
| Published online | 17 June 2026 | |
Exact solution of 1D magnetic Euler-Poisson equations arising in plasma physics
Department of Physics, Jadavpur University - Kolkata 700 032, India
Received: 17 April 2026
Accepted: 26 May 2026
Abstract
We report an exact space-time–dependent solution of 1D magnetic Euler-Poisson (mEP) equations. The mEP equations analyzed here describe the dynamics of upper-hybrid oscillations (UHOs) in a magnetized plasma. The obtained solution exhibits nonlinear behaviour of electron oscillations in a magnetic field within a spatially confined plasma. Our findings may provide a theoretical framework for future studies of nonlinear phenomena in plasmas and related charged particle systems.
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