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  • Rauch, Stefan, 1950-, et al. (author)
  • Triangular newton equations with maximal number of integrals of motion
  • 2005
  • In: Journal of Nonlinear Mathematical Physics. - : Springer Science and Business Media LLC. - 1402-9251 .- 1776-0852. ; 12:2, s. 253-267
  • Journal article (peer-reviewed)abstract
    • 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.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Persson, F. (1)
Rauch, Stefan, 1950- (1)
University
Linköping University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2005 (1)

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