Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 11, Pages 1872–1882
DOI: https://doi.org/10.1134/S0044466919110036 (Mi zvmmf10980) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Soliton solutions of a generalization of the coupled Volterra system

Yu. V. Bibik, S. P. Popov

ВЦ ФИЦ ИУ РАН, Москва, Россия
Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0044466919110036
Abstract: The possibility of finding soliton solutions of a nonintegrable generalization of the coupled Volterra system is studied. This generalization is a system of two equations each of which includes terms that take into account the spatial dependence. At the first stage, the continual limit of the generalization is studied. At the second stage, soliton solutions for the continual limit are sought. At the third, final, step, soliton solutions of the nonintegrable generalization are sought.
Key words: coupled Volterra system, soliton, Zakharov–Kuznetsov equation, KdV equation, Schrödinger equation, Riccati equation.
Received: 20.06.2019
Revised: 20.06.2019
Accepted: 08.07.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 11, Pages 1806–1815
DOI: https://doi.org/10.1134/S0965542519110034
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: Yu. V. Bibik, S. P. Popov, “Soliton solutions of a generalization of the coupled Volterra system”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1872–1882; Comput. Math. Math. Phys., 59:11 (2019), 1806–1815
Citation in format AMSBIB
\Bibitem{BibPop19}
\by Yu.~V.~Bibik, S.~P.~Popov
\paper Soliton solutions of a generalization of the coupled Volterra system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2019
\vol 59
\issue 11
\pages 1872--1882
\mathnet{http://mi.mathnet.ru/zvmmf10980}
\crossref{https://doi.org/10.1134/S0044466919110036}
\elib{https://elibrary.ru/item.asp?id=41044794}
\transl
\jour Comput. Math. Math. Phys.
\yr 2019
\vol 59
\issue 11
\pages 1806--1815
\crossref{https://doi.org/10.1134/S0965542519110034}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000510740900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076407656}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10980
  • https://www.mathnet.ru/eng/zvmmf/v59/i11/p1872
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:180
    References:16
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024