Title
Two new classes of exact solutions for the KdV equation via Backlund transformations Two new classes of exact solutions for the KdV equation via Backlund transformations
Author
Publication type
article
Publication
Oxford ,
Subject
Mathematics
Physics
Source (journal)
Chaos, solitons and fractals. - Oxford
Volume/pages
8(1997) :12 , p. 1901-1909
ISSN
0960-0779
ISI
000071019200002
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The Korteweg-de Vries equation which includes nonlinear and dispersive terms quadratic in the wave amplitude is considered. The exact solutions 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 gent rate two new solutions from the old one. (C) 1997 Elsevier Science Ltd.
E-info
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000071019200002&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000071019200002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000071019200002&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
https://repository.uantwerpen.be/docman/iruaauth/b86ce5/84810366.pdf
Handle