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Formation of quasiparallel Alfven solitonsThe formation of quasi-parallel Alfven solitons is investigated through the inverse scattering transformation (IST) for the derivative nonlinear Schroedinger (DNLS) equation. The DNLS has a rich complement of soliton solutions consisting of a two-parameter soliton family and a one-parameter bright/dark soliton family. In this paper, the physical roles and origins of these soliton families are inferred through an analytic study of the scattering data generated by the IST for a set of initial profiles. The DNLS equation has as limiting forms the nonlinear Schroedinger (NLS), Korteweg-de-Vries (KdV) and modified Korteweg-de-Vries (MKdV) equations. Each of these limits is briefly reviewed in the physical context of quasi-parallel Alfven waves. The existence of these limiting forms serves as a natural framework for discussing the formation of Alfven solitons.
Document ID
19920069951
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Hamilton, R. L.
(California, University Los Angeles, United States)
Kennel, C. F.
(California, University Santa Barbara, United States)
Mjolhus, E.
(Tromso, University Norway)
Date Acquired
August 15, 2013
Publication Date
September 1, 1992
Publication Information
Publication: Physica Scripta
Volume: 46
Issue: 3 Se
ISSN: 0031-8949
Subject Category
Plasma Physics
Accession Number
92A52575
Funding Number(s)
CONTRACT_GRANT: NAGW-1624
CONTRACT_GRANT: NSF PHY-89-04035
Distribution Limits
Public
Copyright
Other

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