Abstract
In this paper we show how to compute algorithmically the full set of algebraically independent constraints for singular mechanical and field-theoretical models with polynomial Lagrangians. If a model under consideration is not singular as a whole but has domains of dynamical (field) variables where its Lagrangian becomes singular, then our approach allows to detect such domains and compute the relevant constraints. In doing so, we assume that the Lagrangian of a model is a differential polynomial and apply the differential Thomas decomposition algorithm to the Euler-Lagrange equations.
DOI
10.1016/j.aam.2015.09.005
Publication Date
2016-01-01
Publication Title
Advances in Applied Mathematics
Volume
72
Publisher
Elsevier BV
ISSN
0196-8858
Embargo Period
2024-11-22
First Page
113
Last Page
138
Recommended Citation
Gerdt, V., & Robertz, D. (2016) 'Lagrangian constraints and differential Thomas decomposition', Advances in Applied Mathematics, 72, pp. 113-138. Elsevier BV: Available at: https://doi.org/10.1016/j.aam.2015.09.005
Comments
publisher: Elsevier articletitle: Lagrangian constraints and differential Thomas decomposition journaltitle: Advances in Applied Mathematics articlelink: http://dx.doi.org/10.1016/j.aam.2015.09.005 content_type: article copyright: Crown copyright © 2015 Published by Elsevier Inc. All rights reserved.