On the construction of conservation laws: a mixed approach
Mathematical Physics
2017-04-05 v1 math.MP
Abstract
A new approach, combining the Ibragimov method and the one by Anco and Bluman, with the aim of algorithmically computing local conservation laws of partial differential equations, is discussed. Some examples of the application of the procedure are given. The method, of course, is able to recover all the conservation laws found by using the direct method; at the same time we can characterize which symmetry, if any, is responsible for the existence of a given conservation law. Some new local conservation laws for the Short Pulse equation and for the Fornberg Whitham equation are also determined.
Keywords
Cite
@article{arxiv.1612.04859,
title = {On the construction of conservation laws: a mixed approach},
author = {M. Ruggieri and M. P. Speciale},
journal= {arXiv preprint arXiv:1612.04859},
year = {2017}
}
Comments
Submitted for publication on Journal of Mathematical physics (16/05/2016)