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This article is cited in 1 scientific paper (total in 1 paper)
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
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.
Author to whom correspondence should be addressed
DOI:
https://doi.org/10.4213/tmf9440
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English version:
Theoretical and Mathematical Physics, 2018, 197:1, 1514–1526
Bibliographic databases:
PACS:
02.30.Jr, 02.20.Sv
MSC: 22E70, 35Qxx Received: 08.08.2017 Revised: 01.11.2017
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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Linking options:
http://mi.mathnet.ru/eng/tmf9440https://doi.org/10.4213/tmf9440 http://mi.mathnet.ru/eng/tmf/v197/i1/p138
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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Rosenhaus V. Shankar R., “Sub-Symmetries and Conservation Laws”, Rep. Math. Phys., 83:1 (2019), 21–48
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