Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 2004
Data sources: zbMATH Open
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Caltech Authors (California Institute of Technology)
Article . 2004
Data sources: Bielefeld Academic Search Engine (BASE)
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
Article . 2004 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1098/rsp...
Article
Data sources: Microsoft Academic Graph
HKU Scholars Hub
Article . 2012
Data sources: HKU Scholars Hub
University of Hong Kong: HKU Scholars Hub
Article . 2004
Data sources: Bielefeld Academic Search Engine (BASE)
The Hong Kong University of Science and Technology: HKUST Institutional Repository
Article . 2004
Data sources: Bielefeld Academic Search Engine (BASE)
 View all 3 versions
Claim

The multiple-soliton solution of the Camassa-Holm equation

descriptionPublicationkeyboard_double_arrow_right Article 08 Sep 2004 China (People's Republic of), United States English Publisher:The Royal SocietyJournal:Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, volume 460, pages 2,617-2,627 (issn: 1364-5021, eissn: 1471-2946, Copyright policy )
Authors: Li, Yishen; Zhang, Jin E.;

doi: 10.1098/rspa.2004.1331

handle: 10722/177723

The multiple-soliton solution of the Camassa-Holm equation

Abstract

Summary: This paper refines Johnson's implementation of Constantin's method for solving the Camassa-Holm equation for a multiple-soliton solution. An analytical formula for the \(q(y)\) and an explicit relation between \(x\) and \(y\) are found. An algorithm of solving for \(u(y)\) is presented. How to introduce the time variable \(t\) into the solution is also clearly explained.

Countries
China (People's Republic of), United States
Related Organizations
View all View all
Keywords

Camassa-Holm Equation, solitons, Darboux Transformation, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, PDEs in connection with fluid mechanics, Camassa-Holm equation, Darboux transformation, Solitons, Camassa–Holm equation, 004

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 88
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
88
Top 10%
Top 10%
Top 10%
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!
uploadUpload now