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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)
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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
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  • https://doi.org/10.4213/tmf9440
  • https://www.mathnet.ru/eng/tmf/v197/i1/p138
    • This publication is cited in the following 2 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
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    References:45
    First page:11
     
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