Closed Geodesics and Billiards on Quadrics Related to Elliptic KdV Solutions
Open Access
- 17 March 2006
- journal article
- Published by Springer Science and Business Media LLC in Letters in Mathematical Physics
- Vol. 76 (2-3), 111-134
- https://doi.org/10.1007/s11005-006-0065-7
Abstract
No abstract availableKeywords
This publication has 26 references indexed in Scilit:
- Algebraic geometrical solutions for certain evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized JacobiansInverse Problems, 2001
- On the Weak Kowalevski–Painlevé Property for Hyperelliptically Separable SystemsActa Applicandae Mathematicae, 2000
- Reduction of theta functions and elliptic finite-gap potentialsActa Applicandae Mathematicae, 1994
- Elliptical billiard systems and the full Poncelet’s theorem in n dimensionsJournal of Mathematical Physics, 1993
- Billiard systems on quadric surfaces and the Poncelet theoremJournal of Mathematical Physics, 1989
- Elliptical billiards and Poncelet’s theoremJournal of Mathematical Physics, 1988
- Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problemCommunications on Pure and Applied Mathematics, 1977
- Exactly solvable one-dimensional many-body problemsLettere al Nuovo Cimento (1971-1985), 1975
- Notiz über geodätische Linien auf den dreiaxigen Flächen zweiten Grades, welche sich durch elliptische Functionen darstellen lassenMathematische Annalen, 1886
- LI. Developments on the porism of the in-and-circumscribed polygonThe London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 1854