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 35, Issue 3, Pages 629–655
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000720 (Mi im1157) 		 
This article is cited in 40 scientific papers (total in 40 papers)

Commuting differential operators of rank 3, and nonlinear differential equations

O. I. Mokhov
English version PDF (1146 kB) Citations (40) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000720
Abstract: Complete solutions of the commutation equations of ordinary differential operators are obtained, to which there corresponds a three-dimensional vector bundle of common eigenfunctions over an elliptic curve. The deformation of the commuting pair by the Kadomtsev–Petviashvili equation is studied. The finite-zone solutions of the Kadomtsev–Petviashvili equation of rank 3 and genus 1 are explicitly expressed in terms of functional parameters satisfying a Boussinesq-type system of two evolution equations.
Bibliography: 40 titles.
Received: 27.04.1988
Bibliographic databases:
UDC: 517.9+512.7
MSC: Primary 47E05, 14K07, 14K25; Secondary 25D25, 34B25, 58F37, 14G10, 12F10
Language: English
Original paper language: Russian
Citation: O. I. Mokhov, “Commuting differential operators of rank 3, and nonlinear differential equations”, Math. USSR-Izv., 35:3 (1990), 629–655
Citation in format AMSBIB
\Bibitem{Mok89}
\by O.~I.~Mokhov
\paper Commuting differential operators of rank~3, and nonlinear differential equations
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 3
\pages 629--655
\mathnet{http://mi.mathnet.ru//eng/im1157}
\crossref{https://doi.org/10.1070/IM1990v035n03ABEH000720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039965}
\zmath{https://zbmath.org/?q=an:0707.34009}
Linking options:
  • https://www.mathnet.ru/eng/im1157
  • https://doi.org/10.1070/IM1990v035n03ABEH000720
  • https://www.mathnet.ru/eng/im/v53/i6/p1291
    • This publication is cited in the following 40 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:936
    Russian version PDF:308
    English version PDF:30
    References:93
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024