Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6512
Title: The resonant nonlinear Schrödinger equation in cold plasma physics. Application of Bäcklund-Darboux transformations and superposition principles
Authors: Lee, Jiunhung
Pashaev, Oktay
Rogers, Colin
Schief, W. K.
Keywords: Plasma waves
Darboux transformations
Magnetic fields
Superposition principles
Issue Date: Apr-2007
Publisher: Cambridge University Press
Source: Lee, J. H., Pashaev, O., Rogers, C., and Schief, W. K. (2007). The resonant nonlinear Schrödinger equation in cold plasma physics. Application of Bäcklund-Darboux transformations and superposition principles. Journal of Plasma Physics, 73(2), 257-272. doi:10.1017/S0022377806004648
Abstract: A system of nonlinear equations governing the transmission of uni-axial waves in a cold collisionless plasma subject to a transverse magnetic field is reduced to the recently proposed resonant nonlinear Schrödinger (RNLS) equation. This integrable variant of the standard nonlinear Schrödinger equation admits novel nonlinear superposition principles associated with Bäcklund-Darboux transformations. These are used here, in particular, to construct analytic descriptions of the interaction of solitonic magnetoacoustic waves propagating through the plasma.
URI: http://doi.org/10.1017/S0022377806004648
http://hdl.handle.net/11147/6512
ISSN: 0022-3778
0022-3778
1469-7807
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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