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, 1980, Volume 44, Number 2, Pages 224–228 (Mi tmf3498)  
Existence of a countable set of integrals of the motion for a system of three three-dimensional wave packets with resonance interaction

E. I. Shulman
Full-text PDF (503 kB)
References:
PDF
HTML
Abstract: It is shown that three-dimensional form of three-wave interaction for bounded envelopes, possesses an infinite sequence of conservation laws. Recurrent relation which enables one to obtain conservation laws of arbitrary order $N$ is presented. In contrast to the one-dimensional case the conservation laws are nonpolynomial for $N\geqslant3$ and include essentially nonlocal terms.
Received: 15.05.1979
English version:
Theoretical and Mathematical Physics, 1980, Volume 44, Issue 2, Pages 708–710
DOI: https://doi.org/10.1007/BF01018451
Bibliographic databases:
Language: Russian
Citation: E. I. Shulman, “Existence of a countable set of integrals of the motion for a system of three three-dimensional wave packets with resonance interaction”, TMF, 44:2 (1980), 224–228; Theoret. and Math. Phys., 44:2 (1980), 708–710
Citation in format AMSBIB
\Bibitem{Shu80}
\by E.~I.~Shulman
\paper Existence of~a~countable set of~integrals of~the motion for a~system of~three three-dimensional wave packets with resonance interaction
\jour TMF
\yr 1980
\vol 44
\issue 2
\pages 224--228
\mathnet{http://mi.mathnet.ru/tmf3498}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=587303}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 44
\issue 2
\pages 708--710
\crossref{https://doi.org/10.1007/BF01018451}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980LL99100008}
Linking options:
  • https://www.mathnet.ru/eng/tmf3498
  • https://www.mathnet.ru/eng/tmf/v44/i2/p224
    • 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:235
    Full-text PDF :81
    References:50
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024