An infinite set of conservation laws for infinite symmetries |
| |
Authors: | V. Rosenhaus |
| |
Affiliation: | (1) Department of Mathematics and Statistics, California State University, Chico, Calif. 95929, USA |
| |
Abstract: | We consider partial differential equations of a variational problem admitting infinite-dimensional Lie symmetry algebras parameterized by arbitrary functions of dependent variables and their derivatives. We show that unlike differential systems with symmetry algebras parameterized by arbitrary functions of independent variables, these equations have infinite sets of essential conservation laws. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 151, No. 3, pp. 518–528, June, 2007. |
| |
Keywords: | infinite symmetries conservation law |
本文献已被 SpringerLink 等数据库收录! |
|