Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1990, Volume 34, Issue 2, Pages 245–259
DOI: https://doi.org/10.1070/IM1990v034n02ABEH000628 (Mi im1239) 		 
This article is cited in 102 scientific papers (total in 102 papers)

Overturning solitons in new two-dimensional integrable equations

O. I. Bogoyavlenskii
English version PDF (681 kB) Citations (102) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1990v034n02ABEH000628
Abstract: Two two-dimensional nonlinear equations are constructed which are integrable by means of a one-dimensional inverse scattering problem. Soliton and $N$-soliton solutions are indicated which are smooth in one coordinate and in the other possess the same overturning property as the classical Riemann wave.
Bibliography: 9 titles.
Received: 26.12.1988
Bibliographic databases:
Document Type: Article
UDC: 539.2
MSC: Primary 35Q20, 76B25; Secondary 35R30
Language: English
Original paper language: Russian
Citation: O. I. Bogoyavlenskii, “Overturning solitons in new two-dimensional integrable equations”, Math. USSR-Izv., 34:2 (1990), 245–259
Citation in format AMSBIB
\Bibitem{Bog89}
\by O.~I.~Bogoyavlenskii
\paper Overturning solitons in new two-dimensional integrable equations
\jour Math. USSR-Izv.
\yr 1990
\vol 34
\issue 2
\pages 245--259
\mathnet{http://mi.mathnet.ru//eng/im1239}
\crossref{https://doi.org/10.1070/IM1990v034n02ABEH000628}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=998295}
\zmath{https://zbmath.org/?q=an:0712.35083}
Linking options:
  • https://www.mathnet.ru/eng/im1239
  • https://doi.org/10.1070/IM1990v034n02ABEH000628
  • https://www.mathnet.ru/eng/im/v53/i2/p243
    Cycle of papers
    This publication is cited in the following 102 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:976
    Russian version PDF:251
    English version PDF:28
    References:84
    First page:2
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024