Publication:
On twistor solutions of the DKP equation

Loading...
Thumbnail Image
Full text at PDC
Publication Date
2003-06-13
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
IOP Publishing
Citations
Google Scholar
Research Projects
Organizational Units
Journal Issue
Abstract
The factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are considered. A method to deal with these reductions is developed for the construction of classes of nontrivial solutions of the dKP equation.
Description
©2003 IOP Publishing Ltd. This work is partially supported by the DGESIC Proyecto PB98-0821.
Unesco subjects
Keywords
Citation
[1] Lebedev D and Manin Yu 1979 Phys. Lett. A 74 154 [2] Zakharov V E 1980 Func. Anal. Priloz. 14 89 Zakharov V E 1981 Physica D 3 193 [3] Kodama Y 1988 Phys. Lett. A 129 223 Kodama Y 1988 Prog. Theor. Phys. Suppl. 95 184 [4] Kodama Y and Gibbons J 1989 Phys. Lett. A 135 167 [5] Takasaki T and Takebe T 1992 Int. J. Mod. Phys. A 7 (Suppl. 1B) 889 Takasaki T and Takebe T 1995 Rev. Math. Phys. 7 743 [6] Kupershmidt B A 1990 J. Phys. A: Math. Gen. 23 871 [7] Krichever I M 1992 Commun. Pure. Appl. Math. 47 437 [8] Krichever I M 1989 Funct. Anal. Appl. 22 200 Krichever I M 1992 Commun. Math. Phys. 143 415 [9] Saveliev M V 1992 Theor. Math. Phys. 92 457 [10] 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. 320) ed N M Ercolani et al (New York: Plenum). [11] Gibbons J and Tsarev S P 1996 Phys. Lett. A 211 19 Gibbons J and Tsarev S P 1996 Phys. Lett. A 258 263 [12] Mineev-Weinstein M, Wiegmann P B and Zabrodin A 2000 Phys. Rev. Lett. 84 5106 [13] Wiegmann P B and Zabrodin A 2000 Commun. Math. Phys 213 523 [14] Dunajski M, Mason L J and Tod P 2001 J. Geom. Phys. 37 63–93 [15] Geogdzhaev V V 1985 Sov. Phys. Dokl. 30 840 [16] Kodama Y 1990 Phys. Lett. A 147 477 [17] Geogdzhaev V V 1987 Physica D 87 168 [18] Konopelchenko B and Martínez Alonso L 2001 Phys. Lett. A 286 161 [19] Mañas M, Martínez Alonso L and Medina E 2002 J. Phys. A: Math. Gen. 35 401 [20] Dunajski M and Tod P 2002 Preprint nlin.SI/0204043
Collections