Published March 2008
| Version v1
Journal article
The Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass
- 1. Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018 (China)
- 2. School of Physics and Electronic Information, Wenzhou University, Wenzhou 325000 (China)
- 3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 (China)
Description
This paper studies the Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass. The discrete Euler–Lagrange equation and energy evolution equation are derived by using a total variational principle. The invariance of discrete equations under infinitesimal transformation groups is defined to be Lie symmetry. The condition of obtaining the Noether conserved quantities from the Lie symmetries is also presented. An example is discussed for applications of the results
Availability note (English)
Available from http://dx.doi.org/10.1088/1674-1056/17/3/003Additional details
Identifiers
Publishing Information
- Journal Title
- Chinese Physics. B
- Journal Volume
- 17
- Journal Issue
- 3
- Journal Page Range
- p. 754-758
- ISSN
- 1674-1056
INIS
- Country of Publication
- China
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44123702
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- LAGRANGE EQUATIONS; LIE GROUPS; MASS; SYMMETRY; TRANSFORMATIONS; VARIATIONAL METHODS
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SYMMETRY GROUPS