Title
Bäcklund transformations and exact soliton solutions for some nonlinear evolution equations of the ZS/AKNS system Bäcklund transformations and exact soliton solutions for some nonlinear evolution equations of the ZS/AKNS system
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Oxford ,
Subject
Mathematics
Physics
Source (journal)
Chaos, solitons and fractals. - Oxford
Volume/pages
9(1998) :11 , p. 1847-1855
ISSN
0960-0779
ISI
000077556300005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The general form of the Backlund transformations (BTs) for some nonlinear evolution equations (NLEEs) solvable by the inverse scattering method of Zakharov-Shabat/Ablowitz- Kaup-Newell-Segur (ZS/AKNS) and the ZS/AKNS wave functions corresponding to the soliton solutions of these NLEEs are considered. The method of characteristics is used and BTs are employed to generate new solutions from the old. Thus, families of new solution classes for the KdV equation, the mKdV equation, the sinh-Poisson equation, the Liouville equation, the stable nonlinear Schrodinger equation, the unstable nonlinear Schrodinger equation, and the inhomogeneous nonlinear Schrodinger equation are obtained. (C) 1998 Elsevier Science Ltd. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/33f9b5/7126825.pdf
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