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| Titel |
Whistler oscillitons revisited: the role of charge neutrality? |
| VerfasserIn |
F. Verheest, T. Cattaert, E. Dubinin, K. Sauer, J. F. McKenzie |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 11, no. 4 ; Nr. 11, no. 4 (2004-10-20), S.447-452 |
| Datensatznummer |
250009325
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| Publikation (Nr.) |
 copernicus.org/npg-11-447-2004.pdf |
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| Zusammenfassung |
| When studying transverse modes propagating parallel to a static magnetic
field, an apparent contradiction arises between the weakly nonlinear
results obtained from the derivative nonlinear Schrödinger equation,
predicting envelope solitons (where the amplitude is stationary in the
wave frame, but the phase is not), and recent results for whistler
oscillitons, indicating that really stationary structures of large
amplitude are possible.
Revisiting this problem in the fluid dynamic approach, care has been taken
not to introduce charge neutrality from the outset, because this not only
neglects electric stresses compared to magnetic stresses, which is
reasonable, but could also imply from Poisson's equation a vanishing of
the wave electric field.
Nevertheless, the fixed points of the remaining equations are the same,
whether charge neutrality is assumed from the outset or not, so that the
solitary wave solutions at not too large amplitudes will be very similar.
This is borne out by numerical simulations of the solutions under the two
hypotheses, showing that the lack of correspondence with the DNLS envelope
solitons indicates the limitations of the reductive perturbation approach,
and is not a consequence of assuming charge neutrality. |
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