Lax Pairs, Painlevé Properties and Exact Solutions of the Calogero Korteweg-de Vries Equation and a New (2 + 1)-Dimensional Equation

Journal of Nonlinear Mathematical Physics

Volumn 7, Issue 1, 2000, Pages 1-13

  Yu, Song Ju ^a   Toda, Kouichi ^a  

^a RITSUMEIKAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038158592     PISSN: 14029251     EISSN: None     Source Type: Journal    
DOI: 10.2991/jnmp.2000.7.1.1     Document Type: Article

References (21)

1. Wilson G., Phys. Lett. A, 1988, V.132, 445-450.
2. Pavlov M.V., Phys. Lett. A, 1998, V.243, 295-300.
3. Blaszak M., Multi-Hamiltonian Theory of Dynamical Systems, Springer-Verlag, Berlin, 1998.
4. Zakharov V.E. and Shabat A.B., Funct. Anal. Appl., 1974, V.8, 226-235.
5. Dryuma V.S., Soviet JETP Lett., 1974, V.19, 387-388.
6. Konopelchenko B.G. and Dubrovsky V.G., Phys. Lett. A, 1983, V.102, 15-17.
7. Yu S., Toda K., Sasa N. and Fukuyama T., J. Phys. A: Math. Gen., 1998, V.31, 3337-3343.
8. Yu S., Toda K. and Fukuyama T., J. Phys. A: Math. Gen., 1998, V.31, 10181-10185.
9. Yu S., Toda K. and Fukuyama T., Reps. Math. Phys., to appear.
10. Calogero F., Lett. Nuovo Cimento, 1975, V.14, 443-447.
11. Calogero F., Lett. Nuovo Cimento, 1975, V.14, 537-543.
12. Calogero F., Nuovo Cimento, B, 1976, V.31, 229-249.
13. Calogero F. and Degasperis A., Spectral Transform and Solitons I, North-Holland, Amsterdam, 1982.
14. Bogoyavlenskij O.I., Math. USSR Izv., 1990, V.34, 245-248.
15. Bogoyavlenskij O.I., Breaking Solitons, Nauka, Moscow, 1991.
16. Schiff J., Painlevé Transendents: Their Asymtopics and Physical Applications, Plenum Press, New-York, 1992, 393-405.
17. Hu X. and Li Y., J. Grad. Sch. USTC 1989, V.6, 8-17.
18. Weiss J., Tabor M.J. and Carnevale G., J. Math. Phys., 1983, V.24, 522-526.
19. Kruskal M.D., Joshi N. and Halburd R., solv-int/9710023.
20. Wolfram S., The MATHEMATICA Book, Cambridge University Press, Cambridge, 1996.
21. Hirota R., J. Phys. Soc. Japan, 1972, V.33, 1456-1463.