Local conservation laws of second-order evolution equations
Analysis of PDEs
2008-08-06 v3 Mathematical Physics
math.MP
Abstract
Generalizing results by Bryant and Griffiths [Duke Math. J., 1995, V.78, 531-676], we completely describe local conservation laws of second-order (1+1)-dimensional evolution equations up to contact equivalence. The possible dimensions of spaces of conservation laws prove to be 0, 1, 2 and infinity. The canonical forms of equations with respect to contact equivalence are found for all nonzero dimensions of spaces of conservation laws.
Keywords
Cite
@article{arxiv.0806.2765,
title = {Local conservation laws of second-order evolution equations},
author = {Roman O. Popovych and Anatoly M. Samoilenko},
journal= {arXiv preprint arXiv:0806.2765},
year = {2008}
}
Comments
11 pages, minor corrections