Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






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


Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 100, Number 3, Pages 367–376 (Mi tmf1655)  

This article is cited in 32 scientific papers (total in 32 papers)

About the modification of the Painlevé test for systems of nonlinear partial differential equations

T. I. Garagash

Steklov Mathematical Institute, Russian Academy of Sciences
References:
Abstract: Following the formulation of [1] the Painlevé test is considered for the 2+1 dimensional model proposed in [2]. It is shown that for the model considered the standard ascending series procedure is correct only on the subset of solutions of the 1+1 dimensional reduction. The modified ascending series procedure is proposed giving a possibility to realize the procedure for a nonreduced case. Basing on this procedure, new representations of the Lax pair and the Backlund transformation are obtaioned. It is shown that the considered system is hamiltonian and some special (soliton's type) solutions are constructed.
Received: 14.10.1993
English version:
Theoretical and Mathematical Physics, 1994, Volume 100, Issue 3, Pages 1075–1081
DOI: https://doi.org/10.1007/BF01018572
Bibliographic databases:
Language: Russian
Citation: T. I. Garagash, “About the modification of the Painlevé test for systems of nonlinear partial differential equations”, TMF, 100:3 (1994), 367–376; Theoret. and Math. Phys., 100:3 (1994), 1075–1081
Citation in format AMSBIB
\Bibitem{Gar94}
\by T.~I.~Garagash
\paper About the modification of the Painlev\'e test for systems of nonlinear partial differential equations
\jour TMF
\yr 1994
\vol 100
\issue 3
\pages 367--376
\mathnet{http://mi.mathnet.ru/tmf1655}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1311895}
\zmath{https://zbmath.org/?q=an:0875.35118}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 100
\issue 3
\pages 1075--1081
\crossref{https://doi.org/10.1007/BF01018572}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994QP25500006}
Linking options:
  • https://www.mathnet.ru/eng/tmf1655
  • https://www.mathnet.ru/eng/tmf/v100/i3/p367
  • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:390
    Full-text PDF :188
    References:42
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024