Transverse collapse of Alfv{acute e}n wave-trains with small dispersion
- CNRS UMR 6529, Observatoire de la Cote dAzur, BP 4229, 06304 Nice Cedex 4 (France)
While in the presence of dispersion the circular polarization of a weakly nonlinear Alfv{acute e}n wave-train is preserved, and the envelope dynamics governed by the usual scalar nonlinear Schr{umlt o}dinger equation, this is no longer the case in the small dispersion limit. It is shown that the wave amplitude then obeys a vector Schr{umlt o}dinger equation with an anisotropic diffraction term. The transverse collapse developing in three space dimensions then leads to the formation of thin layers of intense gradients instead of the foci characteristic of the dispersive case. The transition between the two regimes when the dispersion is decreased, is also analyzed. {copyright} {ital 1998 American Institute of Physics.}
- OSTI ID:
- 565768
- Journal Information:
- Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 5; ISSN PHPAEN; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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