Crystallization of the Bogoyavlensky Lattice

Journal of the Physical Society of Japan

Volumn 68, Issue 7, 1999, Pages 2234-2240

  Hikami, Kazuhiro ^a   Inoue, Rei ^a   Komori, Yasushi ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Bogoyavlensky lattice; Cellular automata; Integrable system; Vertex model

Indexed keywords

EID: 0033449474     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.68.2234     Document Type: Article

References (17)

1. S. Wolfram: Cellular Automata and Complexity (Addison Wesley, New York, 1994).
2. D. Takahashi and J. Satsuma: J. Phys. Soc. Jpn. 59 (1990) 3514.
3. T. Tokihiro, D. Takahashi, J. Matsukidaira and J. Satsuma: Phys. Rev. Lett. 76 (1996) 3247.
4. T. Tokihiro: "Ultra discretization - soliton equation to soliton automaton", talk at "New Developments in Infinite Analysis II", Okinawa, 1998.
5. O. I. Bogoyavlensky: Phys. Lett. A 134 (1988) 34.
6. R. Inoue and K. Hikami: J. Phys. Soc. Jpn. 67 (1998) 87.
7. K. Hikami, K. Sogo and R. Inoue: J. Phys. Soc. Jpn. 66 (1997) 3756.
8. Y. Itoh: Prog. Theor. Phys. 78 (1987) 507.
9. R. Hirota: Direct Method in Soliton Theory (Iwanami Shoten, Tokyo, 1992) [in Japanese].
10. R. Hirota and S. Tsujimoto: RIMS Kôkyûroku 868 (1994) 31 [in Japanese].
11. K. Hikami and R. Inoue: J. Phys. Soc. Jpn. 68 (1999) 776.
12. L. D. Faddeev and L. A. Takhtajan: Hamiltonian Methods in the Theory of Solitons (Springer, Berlin, 1987).
13. R. J. Baxter: Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
14. A. Yu. Volkov: Phys. Lett. A 167 (1992) 345.
15. K. Hikami and R. Inoue: J. Phys. Soc. Jpn. 68 (1999) 376.
16. A. A. Belavin: Nucl. Phys. B 180 (1981) 189.
17. I. M. Krichever, O. Lipan, P. Wiegmann and A. Zabrodin: Commun. Math. Phys. 188 (1997) 267.