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, 2018, Volume 197, Number 1, Pages 138–152
DOI: https://doi.org/10.4213/tmf9440 (Mi tmf9440) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Subsymmetries and their properties

V. Rosenhausa, R. Shankarb

a Department of Mathematics and Statistics, California State University, Chico, CA, USA
b Department of Mathematics, University of Washington, Seattle, WA, USA
Full-text PDF (435 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf9440
Abstract: We introduce a subsymmetry of a differential system as an infinitesimal transformation of a subset of the system that leaves the subset invariant on the solution set of the entire system. We discuss the geometric meaning and properties of subsymmetries and also an algorithm for finding subsymmetries of a system. We show that a subsymmetry is a significantly more powerful tool than a regular symmetry with regard to deformation of conservation laws. We demonstrate that all lower conservation laws of the nonlinear telegraph system can be generated by system subsymmetries.
Keywords: symmetry, symmetry extension, differential system, invariance property.
Received: 08.08.2017
Revised: 01.11.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 1, Pages 1514–1526
DOI: https://doi.org/10.1134/S0040577918100082
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr, 02.20.Sv
MSC: 22E70, 35Qxx
Language: Russian
Citation: V. Rosenhaus, R. Shankar, “Subsymmetries and their properties”, TMF, 197:1 (2018), 138–152; Theoret. and Math. Phys., 197:1 (2018), 1514–1526
Citation in format AMSBIB
\Bibitem{RosSha18}
\by V.~Rosenhaus, R.~Shankar
\paper Subsymmetries and their properties
\jour TMF
\yr 2018
\vol 197
\issue 1
\pages 138--152
\mathnet{http://mi.mathnet.ru/tmf9440}
\crossref{https://doi.org/10.4213/tmf9440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3859420}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2018TMP...197.1514R}
\elib{https://elibrary.ru/item.asp?id=35601335}
\transl
\jour Theoret. and Math. Phys.
\yr 2018
\vol 197
\issue 1
\pages 1514--1526
\crossref{https://doi.org/10.1134/S0040577918100082}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000449768100008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85056079963}
Linking options:
  • https://www.mathnet.ru/eng/tmf9440
  • https://doi.org/10.4213/tmf9440
  • https://www.mathnet.ru/eng/tmf/v197/i1/p138
    • This publication is cited in the following 2 articles:
    1. V. Rosenhaus, R. Shankar, “Sub-symmetries and conservation laws”, Rep. Math. Phys., 83:1 (2019), 21–48  crossref  mathscinet  isi  scopus
    2. V. Rosenhaus, R. Shankar, “Quasi-Noether systems and quasi-Lagrangians”, Symmetry-Basel, 11:8 (2019), 1008  crossref  isi
    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:361
    Full-text PDF :83
    References:56
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025