Quasi-bi-Hamiltonian systems and separability

Journal of Physics A: Mathematical and General

Volumn 30, Issue 8, 1997, Pages 2799-2806

  Morosi, C ^a   Tondo, G ^b  

^a POLITECNICO DI MILANO   (Italy)

^b UNIVERSITY OF TRIESTE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031582157     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/30/8/023     Document Type: Article

References (11)

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2. Olver P J 1993 Applications of Lie Groups to Differential Equations 2nd edn (New York: Springer)
3. Antonowicz M and Rauch-Wojciechowski S 1992 How to construct finite dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials J. Math. Phys. 33 2115-25
4. Tondo G 1995 On the integrability of stationary and restricted flows of the KdV hierarchy J. Phys. A: Math. Gen. 28 5097-115
5. Ravoson V 1992 (ρ, s)-structure Bi-Hamiltonienne, séparabilité, paires de Lax et integrabilité Thèse de Doctorat de Math. Appliquées Université Pau et Pays de l'Adour
6. Caboz R, Ravoson V and Gavrilov L 1991 Bi-Hamiltonian structure of an integrable Hénon-Heiles system J. Phys. A: Math. Gen. 24 L523-5
7. Brouzet R, Caboz R, Rabenivo J and Ravoson V 1996 Two degrees of freedom quasi bi-Hamiltonian systems J. Phys. A: Math. Gen. 29 2069-76
8. Magri F and Marsico T 1996 Some developments of the concepts of Poisson manifolds in the sense of A Lichnerowicz Gravitation, Electromagnetism and Geometrical Structures ed G Ferrarese (Bologna: Pitagora) pp 207-22
9. Dickey L A 1991 Soliton Equations and Hamiltonian Systems (Singapore: World Scientific)
10. Tondo G 1996 On the integrability of Hénon-Heiles type systems Non Linear Physics Theory and Experiment ed E Alfinito et al (Singapore: World Scientific) pp 313-20
11. Levi-Civita T 1904 Sulla integrazione della equazione di Hamilton-Jacobi per separazione di variabili Math. Ann. 59 383-97