@article{BSMF_1999__127_3_363_0,
author = {Beffa, Gloria Mar\'\i },
title = {The theory of differential invariants and KDV hamiltonian evolutions},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
volume = {127},
year = {1999},
pages = {363-391},
doi = {10.24033/bsmf.2353},
mrnumber = {2001m:37142},
zbl = {01357366},
language = {en},
url = {http://dml.mathdoc.fr/item/BSMF_1999__127_3_363_0}
}
Beffa, Gloria Marí. The theory of differential invariants and KDV hamiltonian evolutions. Bulletin de la Société Mathématique de France, Tome 127 (1999) pp. 363-391. doi : 10.24033/bsmf.2353. http://gdmltest.u-ga.fr/item/BSMF_1999__127_3_363_0/
[1] . - On a trace functional for formal pseudo-differential operators and the symplectic structure of the KdV, Inventiones Math., t. 50, 1979, p. 219-48. | MR 80i:58026 | Zbl 0393.35058
[2] , . - Lie algebras and equations of KdV type, J. Soviet Math., t. 30, 1985, p. 1975-2036. | Zbl 0578.58040
[3] , . - A family of Hamiltonian structures connected with integrable nonlinear differential equations. - I.M. Gel'fand collected papers I, Springer-Verlag, New York, 1987.
[4] , , . - Invariant differential equations and the Adler-Gel'fand-Dikii bracket, J. Math. Physics, to appear.
[5] . - Ordinary Differential Equations. - Longmans Green, London, 1926. | JFM 53.0399.07
[6] , . - Modifying Lax equations and the second Hamiltonian structure, Inventiones Math., t. 62, 1981, p. 403-36. | MR 84m:58055 | Zbl 0464.35024
[7] . - SL(n + 1)-invariant equations which reduce to equations of Korteweg-de Vries type, Proc. Royal Soc. Edinburgh, t. 115A, 1990, p. 367-81. | MR 91i:58063 | Zbl 0724.35095
[8] , . - Differential Invariants for parametrized projective surfaces, Comm. in Analysis and Geom., to appear. | Zbl 0949.53012
[9] . - Applications of Lie Groups to Differential Equations. - Springer-Verlag, New York, 1993. | MR 94g:58260 | Zbl 0785.58003
[10] . - Equivalence, Invariants, and Symmetry. - Cambridge University Press, Cambridge, 1995. | MR 96i:58005 | Zbl 0837.58001
[11] , , . - Differential invariant signatures and flows in computer vision : a symmetry group approach, Geometry-Driven Diffusion in Computer Vision. - B.M. ter Haar Romeny, ed., Kluwer Acad. Publ., Dordrecht, The Netherlands, 1994.
[12] , . - Symplectic leaves of the Gelfand-Dikii brackets and homotopy classes of nondegenerate curves, Funct. Anal. Appl., t. 24, 1990, p. 38-47. | Zbl 0723.58021
[13] . - Projective differential geometry of curves and ruled surfaces. - B.G. Teubner, Leipzig, 1906. | JFM 37.0620.02
[14] . - On the antiplectic pair connected with the Adler-Gel'fand-Dikii bracket, Nonlinearity, t. 50, 1992, p. 109-31. | MR 93b:58083 | Zbl 0761.58023
[15] . - On the Adler-Gel'fand-Dikii bracket, Hamiltonian systems, transformation groups and spectral transform methods. - Proc. CRM Workshop, eds : Harnad and Marsden, 1989. | Zbl 0737.35111
[16] . - On antiplectic pairs in the Hamiltonian formalism of evolution equations, Quart. J. Math. Oxford, t. 42, 1991, p. 227-256. | MR 92j:58054 | Zbl 0755.58030