Journal of Non-linear Mathematical Physics

ISSN: 1402-9251
Volume 12, Issue 2, May 2005
Foreword
A Raouf CHOUIKHA
Pages: 162 - 169
In this paper we are interested in developments of the elliptic functions of Jacobi. In particular a trigonometric expansion of the classical theta functions introduced by the author (Algebraic methods and q-special functions, C.R.M. Proceedings and Lectures Notes, A.M.S., vol 22, Providence, 1999,...
E G KALNINS, J M KRESS, W. Miller
Pages: 209 - 229
We describe Jacobi's method for integrating the Hamilton-Jacobi equation and his discovery of elliptic coordinates, the generic separable coordinate systems for real and complex constant curvature spaces. This work was an essential precursor for the modern theory of second-order superintegrable systems...
Fredrik PERSSON, Stefan RAUCH-WOJCIECHOWSKI
Pages: 253 - 267
We study two-dimensional triangular systems of Newton equations (acceleration = velocity-independent force) admitting three functionally independent quadratic intgrals 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....