Lax representation for two-particle dynamics splitting on two tori

Journal of Physics A: Mathematical and General

Volumn 29, Issue 17, 1996, Pages

  Enolskii, V Z ^a   Salerno, M ^b  

^a INSTITUTE OF HYDROBIOLOGY   (Ukraine)

^b UNIVERSITY OF SALERNO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039918204     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/17/002     Document Type: Article

References (16)

1. Ravoson V, Gavrilov L and Gaboz R 1993 Separability and Lax pair for Hénon-Heiles system J. Math. Phys. 34 2385-90
2. Ravoson V, Ramani A and Gramaticos B 1994 Generalized separability for a Hamiltonian with nonseparable quartic potential Phys. Lett. 191A 91-5
3. Chaplygin C A 1954 New Case of Rotation of Rigid Body with a Fixed Point (Moscow: Gostekhizdat) pp 472-6
4. Vanhaecke P 1992 Linearising two dimensional integrable systems and the construction of action-angle variables Math. Z 211 2385-93
5. Baker H F 1897 Abels Theorem and the Allied Theory including the Theory of Theta Functions (Cambridge: Cambridge University Press)
6. Krazer A 1903 Lehrbuch der Thetafunktionen (Leipzig: Teübner)
7. Belokolos E D, Bobenko A I, Enolskii V Z, Its A R and Matveev V B 1994 Algebra Geometrical Approach to Nonlinear Integrable Equations (Berlin: Springer)
8. Fordy A P 1991 The Hénon-Heiles system revisited Physica D 52 204-10
9. Hudson R W H T 1994 Kummer's Quartic Surface (Cambridge: Cambridge University Press) (first published 1905)
10. Bateman H and Erdelyi A 1955 Higher Transcendental Functions vol 2 (New York: McGraw-Hill)
11. Buchstaber V M, Enolskii V Z and Leykin D V 1996 Hyperelliptic Kleinian Functions and Applications (AMS Translations 171) ed S P Novikov, at press
12. Zakharov V E, Manakov S V, Novikov S P and Pitaevskii L P 1980 Soliton Theory: Inverse Scattering Method (Moscow: Nauka)
13. Salerno M, Enolskii V Z and Leykin D V 1994 A canonical transformation between integrable Hénon-Heiles systems Phys. Rev. E 49 5897-9
14. Gesztesy F and Weikard R 1995 Treibich-Verdier potentials and the station (m)KdV hierarchy Math. Z. 219 451-76
15. Gesztesy F and Weikard R 1995 On Picard potentials Diff. Int. Eqs. 8 1453-76
16. Gesztesy F and Weikard R 1995 A characterization of elliptic finite gap potentials C. R. Acad. Sci., Paris 321 837-41