Search: onr:"swepub:oai:DiVA.org:liu-30419" >
Triangular newton e...
Triangular newton equations with maximal number of integrals of motion
-
- Rauch, Stefan, 1950- (author)
- Linköpings universitet,Tekniska högskolan,Tillämpad matematik
-
Persson, F. (author)
-
(creator_code:org_t)
- 2005
- 2005
- English.
-
In: Journal of Nonlinear Mathematical Physics. - : Springer Science and Business Media LLC. - 1402-9251 .- 1776-0852. ; 12:2, s. 253-267
- Related links:
-
https://www.tandfonl...
-
show more...
-
https://urn.kb.se/re...
-
https://doi.org/10.2...
-
show less...
Abstract
Subject headings
Close
- We study two-dimensional triangular systems of Newton equations (acceleration = velocity-independent force) admitting three functionally independent quadratic integrals of motion. The main idea is to exploit the fact that the first component M1(q1) of a triangular force depends on one variable only. By using the existence of extra integrals of motion we reduce the problem to solving a simultaneous system of three linear ordinary differential equations with nonconstant coefficients for M 1(q1). With the help of computer algebra we have found and solved these ordinary differential equations in all cases. A complete list of superintegrable triangular equations in two dimensions is been given. Most of these equations were not known before.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- MATHEMATICS
- MATEMATIK
Publication and Content Type
- ref (subject category)
- art (subject category)
Find in a library
To the university's database