https://doi.org/10.1140/epjd/s10053-025-01078-8
Regular Article - : Plasmas
Exact solution of 1D Euler–Poisson equations describing nonlinear Langmuir oscillations in cold bounded plasmas
Department of Physics, Jadavpur University, 700032, Kolkata, India
a
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Received:
4
June
2025
Accepted:
7
October
2025
Published online: 23 October 2025
Nonlinear Langmuir oscillations in a cold bounded plasma of finite resistivity have been analyzed. Without recourse to the Lagrangian coordinates, a class of exact space-time-dependent solution of the governing 1D Euler–Poisson equations has been obtained. Under well-defined boundary and initial conditions, a piecewise linear solution of the equations on a segment is constructed. The method outlined here for solving the equations is expected to be fruitfully applied in many branches of nonlinear physics having similar model.
Graphical abstract: Spatio-temporal evolution of electron fluid velocity
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
