The Whitham hierarchies: Reductions and hodograph solutions

Journal of Physics A: Mathematical and General

Volumn 36, Issue 14, 2003, Pages 4047-4062

  Guil, Francisco ^a   Mañas, Manuel ^a   Martínez Alonso, Luis ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242361239     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/14/309     Document Type: Article

References (27)

1. Lebedev D and Manin Yu 1979 Phys. Lett. A 74 154
2. Zakharov V E 1980 Funct. Anal. Priloz. 14 89 Zakharov V E 1981 Physica D 3 193
3. Zakharov V E 1980 Funct. Anal. Priloz. 14 89 Zakharov V E 1981 Physica D 3 193
4. Kodama Y 1988 Phys. Lett. A 129 223 Kodama Y 1988 Prog. Theor. Phys. Suppl. 95 184
5. Kodama Y 1988 Phys. Lett. A 129 223 Kodama Y 1988 Prog. Theor. Phys. Suppl. 95 184
6. Kodama Y and Gibbons J 1989 Phys. Lett. A 135 167
7. Takasaky T and Takebe T 1992 Int. J. Mod. Phys. A 7 (Suppl. 1B) 889 Takasaky T and Takebe T 1995 Rev. Math. Phys. 7 743
8. Takasaky T and Takebe T 1992 Int. J. Mod. Phys. A 7 (Suppl. 1B) 889 Takasaky T and Takebe T 1995 Rev. Math. Phys. 7 743
9. Kupershmidt B A 1990 J. Phys. A: Math. Gen. 23 871
10. Krichever I M 1992 Commun. Pure. Appl. Math. 47 437
11. Krichever I M 1989 Funct. Anal. Appl. 22 200 Krichever I M 1992 Commun. Math. Phys. 143 415
12. Krichever I M 1989 Funct. Anal. Appl. 22 200 Krichever I M 1992 Commun. Math. Phys. 143 415
13. Saveliev M V 1992 Sov. J. Theor. Math. Phys. 92 457
14. Zakharov V E 1994 Dispersionless limit of integrable systems in 2 + 1 dimensions Singular Limits of Dispersive Waves (Nato Adv. Sci. Inst. Ser. B Phys. vol 320) ed N M Ercolani et al (New York: Plenum)
15. Gibbons J and Tsarev S P 1996 Phys. Lett. A 211 19 Gibbons J and Tsarev S P 1999 Phys. Lett. A 258 263
16. Gibbons J and Tsarev S P 1996 Phys. Lett. A 211 19 Gibbons J and Tsarev S P 1999 Phys. Lett. A 258 263
17. Mineev-Weinstein M, Wiegmann P B and Zabrodin A 2000 Phys. Rev. Lett. 84 5106
18. Wiegmann P B and Zabrodin A 2000 Commun. Math. Phys. 213 523-38
19. Dunaiski M, Mason L J and Tod P 2001 J. Geom. Phys. 37 63-93
20. Geogdzhaev V V 1985 Sov. Phys.-Dokl. 30 10, 840
21. Kodama Y 1990 Phys. Lett. A 147 477
22. Geogdzhaev V V 1987 Physica D 87 168
23. Konopelchenko B and Martinez Alonso L 2001 Phys. Lett. A 286 161-6
24. Mañas M, Martinez Alonso L and Medina E 2002 J. Phys. A: Math. Gen. 35 401
25. Finley J D and Plebanski J F 1979 J. Math. Phys. 20 1938
26. Boyer C P and Finley J D 1982 J. Math. Phys. 23 1126
27. Darboux G 1910 Leçons sur le systèmes orthogonaux et les coordonnées curvilignes (Paris: Gauthier-Villars, Imprimeur-Libraire)