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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 |
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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