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- Title
Subsymmetries and Their Properties.
- Authors
Rosenhaus, V.; Shankar, R.
- 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.
- Subjects
MATHEMATICAL symmetry; GROUP theory; MATHEMATICAL analysis; DIFFERENTIAL equations; MATHEMATICAL models
- Publication
Theoretical & Mathematical Physics, 2018, Vol 197, Issue 1, p1514
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577918100082