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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 151, Number 3, Pages 518–528
DOI: https://doi.org/10.4213/tmf6064 (Mi tmf6064) 		 
This article is cited in 6 scientific papers (total in 6 papers)

An infinite set of conservation laws for infinite symmetries

V. Rosenhaus

California State University, Chico
Full-text PDF (423 kB) Citations (6)
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DOI: https://doi.org/10.4213/tmf6064
Abstract: We consider partial differential equations of a variational problem admitting infinite-dimensional Lie symmetry algebras parameterized by arbitrary functions of dependent variables and their derivatives. We show that unlike differential systems with symmetry algebras parameterized by arbitrary functions of independent variables, these equations have infinite sets of essential conservation laws.
Keywords: infinite symmetries, conservation law.
English version:
Theoretical and Mathematical Physics, 2007, Volume 151, Issue 3, Pages 869–878
DOI: https://doi.org/10.1007/s11232-007-0072-6
Bibliographic databases:
Language: Russian
Citation: V. Rosenhaus, “An infinite set of conservation laws for infinite symmetries”, TMF, 151:3 (2007), 518–528; Theoret. and Math. Phys., 151:3 (2007), 869–878
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf6064
  • https://doi.org/10.4213/tmf6064
  • https://www.mathnet.ru/eng/tmf/v151/i3/p518
    • This publication is cited in the following 6 articles:
    1. Rosenhaus V. Shankar R., “Sub-Symmetries and Conservation Laws”, Rep. Math. Phys., 83:1 (2019), 21–48  crossref  mathscinet  isi  scopus
    2. V. Rosenhaus, R. Shankar, “Subsymmetries and their properties”, Theoret. and Math. Phys., 197:1 (2018), 1514–1526  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. Rosenhaus V., Bruzon M.S., Gandarias M.L., “Boundary Conditions for Infinite Conservation Laws”, Rep. Math. Phys., 78:3 (2016), 345–370  crossref  mathscinet  zmath  isi  scopus
    4. Rosenhaus V. Shankar R., “Second Noether theorem for quasi-Noether systems”, J. Phys. A-Math. Theor., 49:17 (2016), 175205  crossref  mathscinet  zmath  isi  scopus
    5. V. Rosenhaus, “Infinite conservation laws for differential systems”, Theoret. and Math. Phys., 160:1 (2009), 1042–1049  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    6. Khovanov, M, “Matrix factorizations and link homology”, Fundamenta Mathematicae, 199:1 (2008), 1  crossref  mathscinet  zmath  isi  scopus
    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
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