Peakons, r-matrix and Toda lattice

Physica A: Statistical Mechanics and its Applications

Volumn 228, Issue 1-4, 1996, Pages 150-159

  Ragnisco, O ^a,b   Bruschi, M ^a,c  

^a INFN SEZIONE DI ROMA   (Italy)

^b ROMA TRE UNIVERSITY   (Italy)

^c UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRATION; MATRIX ALGEBRA; NONLINEAR EQUATIONS; NUMERICAL METHODS;

HAMILTONIAN SYSTEMS; INTEGRABLE TIME DISCRETIZATION; LAX REPRESENTATION; PEAKONS; R MATRIX; TODA LATTICE;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0030173112     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-4371(95)00438-6     Document Type: Article

References (22)

1. R. Camassa, D.D. Holm, Phys. Rev. Lett. 71 (1993) 1661-1664; R. Camassa, D.D. Holm, J.M. Hyman, Adv. Appl. Math. 31 (1994) 1-33.
2. R. Camassa, D.D. Holm, Phys. Rev. Lett. 71 (1993) 1661-1664; R. Camassa, D.D. Holm, J.M. Hyman, Adv. Appl. Math. 31 (1994) 1-33.
3. A.S. Fokas, B. Fuchssteiner, Physica D 4 (1981) 47-66.
4. H. Airault, H.P. McKean, J. Moser, Comm. Pure Appl. Math. 30 (1977) 95-148.
5. I.M. Krichever, Funct. Anal. Appl. 12 (1978) 50-61.
6. I.M. Krichever, Funct. Anal. Appl. 14 (1980) 282-290.
7. O.I. Bogoyavlenski, S.P. Novikov, Funct. Anal. Appl. 13 (1976) 6.
8. E. Previato, The Calogero-Moser-Krichever System and Elliptic Boussinesq Solitons, in: Hamiltonian Systems, Transformation Groups and Spectral Transform Methods, J. Harnad and J. Marsden, eds. (CRM, Montreal, 1990).
9. M. Antonowicz, S. Rauch-Wojciechowski, Phys. Lett. A 147 (1990) 455; M. Antonowicz, S. Rauch-Woijciechowski, J. Phys. A 24 (1992) 5043.
10. M. Antonowicz, S. Rauch-Wojciechowski, Phys. Lett. A 147 (1990) 455; M. Antonowicz, S. Rauch-Woijciechowski, J. Phys. A 24 (1992) 5043.
11. F. Calogero, J.P. Françoise, A Completely Integrable Hamiltonian System, J. Math. Phys., submitted.
12. M. Alber, New types of soliton solutions for nonlinear equations, talk delivered at the Conference on Nonlinear Coherent Structures in Physics and Biology, Edinburg, Scotland, July 10-14 (1995).
13. M.A. Semenov-Tianshanski, Funct. Anal. Appl. 17 (1983) 259.
14. O. Babelon, C.M. Viallet, Phys. Lett. B 237 (1990) 411-416.
15. W.W Symes, Invent. Math. 59 (1980) 13-51.
16. F. Calogero, Phys. Lett. A 201 (1995) 306.
17. W. Oevel, O. Ragnisco, Physica A 161 (1989) 181-220.
18. Yu.B. Suris, New Discretisation of the Toda Lattice, University of Bremen, Centre for Complex Systems and Visualization, preprint (1995).
19. B. Grammaticos, A. Ramani, V. Papageorgiou, Lett. Math. Phys. 34 (1995) 91-101.
20. F. Nijhoff, G.D. Pang, Discrete-time Calogero-Moser model and lattice KP equation, in: Symmetries and Integrability of Difference Equations, D. Levi, P. Winternitz and L. Vinet, eds. (CRM, Montreal, 1995); F. Nijhoff, O. Ragnisco, V. Kuzsnetsov, Integrable time-discretization of the Rujisenaars-Schneider model, Comm. Math. Phys. 176 (1996) 681-700; Yu.B. Suris, A discrete-time relativistic Toda lattice, University of Bremen, Centre for Complex Systems and Visualization, preprint (1995).
21. F. Nijhoff, G.D. Pang, Discrete-time Calogero-Moser model and lattice KP equation, in: Symmetries and Integrability of Difference Equations, D. Levi, P. Winternitz and L. Vinet, eds. (CRM, Montreal, 1995); F. Nijhoff, O. Ragnisco, V. Kuzsnetsov, Integrable time-discretization of the Rujisenaars-Schneider model, Comm. Math. Phys. 176 (1996) 681-700; Yu.B. Suris, A discrete-time relativistic Toda lattice, University of Bremen, Centre for Complex Systems and Visualization, preprint (1995).
22. F. Nijhoff, G.D. Pang, Discrete-time Calogero-Moser model and lattice KP equation, in: Symmetries and Integrability of Difference Equations, D. Levi, P. Winternitz and L. Vinet, eds. (CRM, Montreal, 1995); F. Nijhoff, O. Ragnisco, V. Kuzsnetsov, Integrable time-discretization of the Rujisenaars-Schneider model, Comm. Math. Phys. 176 (1996) 681-700; Yu.B. Suris, A discrete-time relativistic Toda lattice, University of Bremen, Centre for Complex Systems and Visualization, preprint (1995).