Symmetry properties of conservation laws

Author:

Anco Stephen C.1

Affiliation:

1. Department of Mathematics and Statistics, Brock University, St. Catharines, ON L2S3A1, Canada

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference19 articles.

1. Applications of Lie Groups to Differential Equations

2. Springer Applied Mathematics Series;Bluman G.,2002

3. Applications of Symmetry Methods to Partial Differential Equations

4. G. Bluman, A. Cheviakov and S. C. Anco, in Group Analysis of Differential Equations and Integrable Systems, Proce. Fourth Int. Workshop (Cyprus, 2008), 13–35.

5. Conservation laws of scaling-invariant field equations

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