The Hungry-Volterra Model - The Classical and Quantum Integrable Structures

Journal of the Physical Society of Japan

Volumn 67, Issue 1, 1998, Pages 87-92

  Inoue, Rei ^a   Hikami, Kazuhiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Bogoyavlensky lattice; Classical r matrix; Hungry Volterra model; Lax form; Lotka Volterra model; R matrix

Indexed keywords

EID: 0032373528     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.67.87     Document Type: Article

References (22)

1. O. I. Bogoyavlensky: Phys. Lett. A 134 (1988) 34.
2. Y. Itoh: Prog. Theor. Phys. 78 (1987) 507.
3. Yu. B. Suris: Phys. Lett. A 188 (1994) 256.
4. L. D. Faddeev and L. A. Takhtajan: Hamiltonian Methods in the Theory of Solitons (Springer, Berlin, 1987).
5. L. D. Faddeev and L. A. Takhtajan: Lecture Notes in Physics 246 (1986) 166.
6. A. Yu. Volkov: Phys. Lett. A 167 (1992) 345.
7. R. Inoue and M. Wadati: J. Phys. Soc. Jpn. 66 (1997) 1291.
8. P. P. Kulish and E. K. Sklyanin: J. Sov. Math. 19 (1982) 1596.
9. A. A. Belavin and V. Drinfel'd: Funkl. Anal. Appl. 16 (1983) 159.
10. A. A. Belavin: Nucl. Phys. B 180 (1981) 189.
11. A. G. Izergin and V. E. Korepin: Nucl. Phys. B 205 [FS5] (1982) 401.
12. S. N. M. Ruijsenaars: Commun. Math. Phys. 133 (1990) 217.
13. O. Ragnisco and M. Bruschi: Inverse Probl. 5 (1989) 389.
14. Yu. B. Suris: Phys. Lett. A 180 (1993) 419.
15. K. Hikami: J. Phys. Soc. Jpn. 65 (1996) 1213.
16. E. K. Sklyanin: Lecture Notes in Physics 226 (1985) 196.
17. K. Hikami and R. Inoue: J. Phys. A: Math. Gen. 30 (1997) 6911.
18. A. A. Belov and K. D. Chaltikian: Phys. Lett. B 317 (1993) 64 & 73.
19. L. Bonora, L. P. Colatto and C. P. Constantinidis: Phys. Lett. B 387 (1996) 759.
20. K. Hikami: Chaos, Solitons & Fractals 9 (1998), to appear.
21. K. Hikami, K. Sogo and H. Inoue: J. Phys. Soc. Jpn. 66 (1997) 3756.
22. K. Hikami: Nucl. Phys. B 505 (1997) 749.