Symmetry properties of conservation laws
Mathematical Physics
2016-12-21 v3 math.MP
Exactly Solvable and Integrable Systems
Abstract
Symmetry properties of conservation laws of partial differential equations are developed by using the general method of conservation law multipliers. As main results, simple conditions are given for characterizing when a conservation law and its associated conserved quantity are invariant (and, more generally, homogeneous) under the action of a symmetry. These results are used to show that a recent conservation law formula (due to Ibragimov) is equivalent to a standard formula for the action of an infinitesimal symmetry on a conservation law multiplier.
Keywords
Cite
@article{arxiv.1512.01835,
title = {Symmetry properties of conservation laws},
author = {Stephen C. Anco},
journal= {arXiv preprint arXiv:1512.01835},
year = {2016}
}
Comments
11 pages. Revised version. Thm 1 has been corrected. arXiv admin note: substantial text overlap with arXiv:1510.09154