Title
Backlund transformations and exact solutions for Alfven solitons in a relativistic electron-positron plasma Backlund transformations and exact solutions for Alfven solitons in a relativistic electron-positron plasma
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Stockholm ,
Subject
Physics
Source (journal)
Physica scripta: supplements. - Stockholm
Volume/pages
58(1998) :6 , p. 545-548
ISSN
0281-1847
ISI
000077584100001
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Nonlinear Alfven waves, propagating along a homogeneous magnetic field are studied using relativistic isotropic hydrodynamics. Alfven solitons of the moving-wave and wave packet types are considered for modified Korteweg-de Vries (mKdV) equation and the nonlinear Schrodinger (NLS) equation, respectively. The method of characteristics is used and the Backlund transformations (BTs) are employed to generate new solutions from the old ones. Thus, families of new solutions for the mKdV and the NLS equations are obtained. The question arises which solitons exist in the pulsar atmosphere.
E-info
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