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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 190–198
DOI: https://doi.org/10.4213/tmf1845 (Mi tmf1845) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Essential Conservation Laws for Equations with Infinite Symmetries

V. Rosenhaus

California State University, Chico
Full-text PDF (203 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf1845
Abstract: We consider partial differential equations of variational problems with infinite symmetry groups. We study local conservation laws associated with arbitrary functions of one variable in the group generators. We show that only symmetries with arbitrary functions of dependent variables lead to an infinite number of conservation laws. We also calculate local conservation laws for the potential Zabolotskaya–Khokhlov equation for one of its infinite subgroups.
Keywords: infinite symmetries, conservation laws.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 1046–1053
DOI: https://doi.org/10.1007/s11232-005-0133-7
Bibliographic databases:
Language: Russian
Citation: V. Rosenhaus, “Essential Conservation Laws for Equations with Infinite Symmetries”, TMF, 144:1 (2005), 190–198; Theoret. and Math. Phys., 144:1 (2005), 1046–1053
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf1845
  • https://doi.org/10.4213/tmf1845
  • https://www.mathnet.ru/eng/tmf/v144/i1/p190
    • This publication is cited in the following 5 articles:
    1. Rosenhaus V., Gandarias M., “On conserved densities and boundary conditions for the Davey-Stewartson equations”, J. Phys. A, 43:4 (2010), 045206, 13 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    2. V. Rosenhaus, “Infinite conservation laws for differential systems”, Theoret. and Math. Phys., 160:1 (2009), 1042–1049  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. V. Rosenhaus, “An infinite set of conservation laws for infinite symmetries”, Theoret. and Math. Phys., 151:3 (2007), 869–878  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Rosenhaus V., “Boundary conditions and conserved densities for potential Zabolotskaya-Khokhlov equation”, J. Nonlinear Math. Phys., 13:2 (2006), 255–270  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    5. Rosenhaus V., “On conserved densities and asymptotic behaviour for the potential Kadomtsev-Petviashvili equation”, J. Phys. A, 39:24 (2006), 7693–7703  crossref  mathscinet  zmath  adsnasa  isi  scopus  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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    Full-text PDF :224
    References:75
    First page:1
     
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