A completely integrable Hamiltonian system

Journal of Mathematical Physics

Volumn 37, Issue 6, 1996, Pages 2863-2871

  Calogero, F ^a,b   Francoise J P ^a  

^a SORBONNE UNIVERSITÉ   (France)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030546217     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531536     Document Type: Article

References (8)

1. R. Camassa and D. D. Holm, "An integrable shallow water equation with peaked solitons," Phys. Rev. Lett. 71, 1661-1664 (1993); R. Camassa, D. D. Holm, and J. M. Hyman, "A new integrable shallow water equation," Adv. Appl. Mech. 31, 1-33 (1994).
2. R. Camassa and D. D. Holm, "An integrable shallow water equation with peaked solitons," Phys. Rev. Lett. 71, 1661-1664 (1993); R. Camassa, D. D. Holm, and J. M. Hyman, "A new integrable shallow water equation," Adv. Appl. Mech. 31, 1-33 (1994).
3. A. Fokas and B. Fuchssteiner, "Symplectic structures, their Bäcklund transformations and hereditary symmetries," Physica D 4, 47-66 (1981).
4. F. Calogero, "An integrable Hamiltonian system," Phys. Lett. A 201, 306-310 (1995).
5. J. Moser, "Regularization of Kepler's problem and the averaging method on a manifold," Commun. Pure Appl. Math. 23, 609-636 (1970).
6. F. Calogero and J. F. van Diejen, to be published.
7. F. Calogero and J.-P. Françoise, "Integrable dynamical systems obtained by duplications," Ann. Inst. H. Poincaré 57, 167-181 (1992).
8. M. Bruschi, O. Ragnisco, and S. Rauch-Wojciechowski, to be published.