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, 2014, Volume 10, 111, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.111
(Mi sigma976)
 

This article is cited in 2 scientific papers (total in 2 papers)

Mach-Type Soliton in the Novikov–Veselov Equation

Jen-Hsu Chang

Department of Computer Science and Information Engineering, National Defense University, Tauyuan County 33551, Taiwan
Full-text PDF (556 kB) Citations (2)
References:
Abstract: Using the reality condition of the solutions, one constructs the Mach-type soliton of the Novikov–Veselov equation by the minor-summation formula of the Pfaffian. We study the evolution of the Mach-type soliton and find that the amplitude of the Mach stem wave is less than two times of the one of the incident wave. It is shown that the length of the Mach stem wave is linear with time. One discusses the relations with $V$-shape initial value wave for different critical values of Miles parameter.
Keywords: Pfaffian; Mach-type soliton; Mach stem wave; $V$-shape wave.
Received: September 18, 2014; in final form December 10, 2014; Published online December 18, 2014
Bibliographic databases:
Document Type: Article
MSC: 35C08; 35A22
Language: English
Citation: Jen-Hsu Chang, “Mach-Type Soliton in the Novikov–Veselov Equation”, SIGMA, 10 (2014), 111, 14 pp.
Citation in format AMSBIB
\Bibitem{Cha14}
\by Jen-Hsu~Chang
\paper Mach-Type Soliton in the Novikov--Veselov Equation
\jour SIGMA
\yr 2014
\vol 10
\papernumber 111
\totalpages 14
\mathnet{http://mi.mathnet.ru/sigma976}
\crossref{https://doi.org/10.3842/SIGMA.2014.111}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000348068500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919414291}
Linking options:
  • https://www.mathnet.ru/eng/sigma976
  • https://www.mathnet.ru/eng/sigma/v10/p111
  • This publication is cited in the following 2 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024