Computer algebra solution of the inverse problem in the calculus of variations

Authors
Aldridge, JE Prince, GE
Citation
Je. Aldridge et Ge. Prince, Computer algebra solution of the inverse problem in the calculus of variations, COMP PHYS C, 115(2-3), 1998, pp. 489-509
Citations number
24
Categorie Soggetti
Physics
Journal title
COMPUTER PHYSICS COMMUNICATIONS
ISSN journal
00104655 → ACNP
Volume
115
Issue
2-3
Year of publication
1998
Pages
489 - 509
Database
ISI
SICI code
0010-4655(199812)115:2-3<489:CASOTI>2.0.ZU;2-U
Abstract
The inverse problem in the calculus of variations for a given set of second order ordinary differential equations consists of deciding whether their s olutions are those of Euler-Lagrange equations and exhibiting the non-uniqe ness of the resulting Lagrangians when they occur. This paper discusses the use of the REDUCE packages EXCALC, EDS and Dimsym to solve this problem. (C) 1998 Elsevier Science B.V.