dorsal/arxiv
View SchemaNonlinear magnetoacoustic waves in a cold plasma
| Authors | G. Rowlands, M. A. Allen |
|---|---|
| Categories | |
| ArXiv ID | physics/0607237 |
| URL | https://arxiv.org/abs/physics/0607237 |
| DOI | 10.1017/S0022377806004818 |
| Journal | J. Plasma Physics 73 (4) 543-54 (2007) |
Abstract
The equations describing planar magnetoacoustic waves of permanent form in a cold plasma are rewritten so as to highlight the presence of a naturally small parameter equal to the ratio of the electron and ion masses. If the magnetic field is not nearly perpendicular to the direction of wave propagation, this allows us to use a multiple-scale expansion to demonstrate the existence and nature of nonlinear wave solutions. Such solutions are found to have a rapid oscillation of constant amplitude superimposed on the underlying large-scale variation. The approximate equations for the large-scale variation are obtained by making an adiabatic approximation and in one limit, new explicit solitary pulse solutions are found. In the case of a perpendicular magnetic field, conditions for the existence of solitary pulses are derived. Our results are consistent with earlier studies which were restricted to waves having a velocity close to that of long-wavelength linear magnetoacoustic waves.
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"abstract": "The equations describing planar magnetoacoustic waves of permanent form in a\ncold plasma are rewritten so as to highlight the presence of a naturally small\nparameter equal to the ratio of the electron and ion masses. If the magnetic\nfield is not nearly perpendicular to the direction of wave propagation, this\nallows us to use a multiple-scale expansion to demonstrate the existence and\nnature of nonlinear wave solutions. Such solutions are found to have a rapid\noscillation of constant amplitude superimposed on the underlying large-scale\nvariation. The approximate equations for the large-scale variation are obtained\nby making an adiabatic approximation and in one limit, new explicit solitary\npulse solutions are found. In the case of a perpendicular magnetic field,\nconditions for the existence of solitary pulses are derived. Our results are\nconsistent with earlier studies which were restricted to waves having a\nvelocity close to that of long-wavelength linear magnetoacoustic waves.",
"arxiv_id": "physics/0607237",
"authors": [
"G. Rowlands",
"M. A. Allen"
],
"categories": [
"physics.plasm-ph",
"nlin.PS"
],
"doi": "10.1017/S0022377806004818",
"journal_ref": "J. Plasma Physics 73 (4) 543-54 (2007)",
"title": "Nonlinear magnetoacoustic waves in a cold plasma",
"url": "https://arxiv.org/abs/physics/0607237"
},
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