Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 096, 8 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.096 (Mi sigma124) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Restricted Flows and the Soliton Equation with Self-Consistent Sources

Runliang Lina, Haishen Yaob, Yunbo Zenga

a Department of Mathematical Sciences, Tsinghua University, Beijing 100084, P. R. China
b Dept. of Math and Computer Science, QCC, The City University of New York, USA
Full-text PDF (204 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2006.096
Abstract: The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Bäcklund transformation for the restricted flows (by V. B. Kuznetsov et al.), we constructed two types of Darboux transformations for the KdV equation with self-consistent sources (KdVES). These Darboux transformations are used to get some explicit solutions of the KdVES, which include soliton, rational, positon, and negaton solutions.
Keywords: the KdV equation with self-consistent sources; restricted flows; Lax pair; Darboux transformation; soliton solution.
Received: October 28, 2006; in final form December 22, 2006; Published online December 30, 2006
Bibliographic databases:
Document Type: Article
MSC: 35Q51; 35Q53; 37K10
Language: English
Citation: Runliang Lin, Haishen Yao, Yunbo Zeng, “Restricted Flows and the Soliton Equation with Self-Consistent Sources”, SIGMA, 2 (2006), 096, 8 pp.
Citation in format AMSBIB
\Bibitem{LinYaoZen06}
\by Runliang Lin, Haishen Yao, Yunbo Zeng
\paper Restricted Flows and the Soliton Equation with Self-Consistent Sources
\jour SIGMA
\yr 2006
\vol 2
\papernumber 096
\totalpages 8
\mathnet{http://mi.mathnet.ru/sigma124}
\crossref{https://doi.org/10.3842/SIGMA.2006.096}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2280324}
\zmath{https://zbmath.org/?q=an:1135.35068}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065100095}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889235283}
Linking options:
  • https://www.mathnet.ru/eng/sigma124
  • https://www.mathnet.ru/eng/sigma/v2/p96
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:210
    Full-text PDF :60
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024