Title
Backlund transformations : exact solutions for the KdV and the Calogero-Degasperis-Fokas mKdV equations Backlund transformations : exact solutions for the KdV and the Calogero-Degasperis-Fokas mKdV equations
Author
Publication type
article
Publication
Stuttgart ,
Subject
Mathematics
Source (journal)
Mathematical methods in the applied sciences. - Stuttgart
Volume/pages
21(1998) :8 , p. 719-731
ISSN
0170-4214
ISI
000073434200004
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The exact solutions for the KdV and the Calogero-Degasperis-Fokas mKdV equations can be obtained by the AKNS class. The technique developed relies on the construction of the wave Functions which are solutions of the associated AKNS system; that is, a linear eigenvalue problem in the form of a system of first order partial differential equations. The method of characteristics is used and Backlund transformations (BTs) are employed to generate two new solutions from the old. (C) 1998 B. Teubner Stuttgart-John Wiley & Sons Ltd.
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