1 Déformations des structures de Poisson et formulation isospectrale des problèmes d'évolution non linéaires

René Ouzilou

Publications du Département de mathématiques (Lyon) (1984)

  • Volume: 3/B, Issue: 3B, page 1-13
  • ISSN: 0076-1656

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Ouzilou, René. "1 Déformations des structures de Poisson et formulation isospectrale des problèmes d'évolution non linéaires." Publications du Département de mathématiques (Lyon) 3/B.3B (1984): 1-13. <http://eudml.org/doc/274252>.

@article{Ouzilou1984,
author = {Ouzilou, René},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {Korteweg-de Vries equation; Poisson structures; deformations; Lax equations},
language = {fre},
number = {3B},
pages = {1-13},
publisher = {Université Claude Bernard - Lyon 1},
title = {1 Déformations des structures de Poisson et formulation isospectrale des problèmes d'évolution non linéaires},
url = {http://eudml.org/doc/274252},
volume = {3/B},
year = {1984},
}

TY - JOUR
AU - Ouzilou, René
TI - 1 Déformations des structures de Poisson et formulation isospectrale des problèmes d'évolution non linéaires
JO - Publications du Département de mathématiques (Lyon)
PY - 1984
PB - Université Claude Bernard - Lyon 1
VL - 3/B
IS - 3B
SP - 1
EP - 13
LA - fre
KW - Korteweg-de Vries equation; Poisson structures; deformations; Lax equations
UR - http://eudml.org/doc/274252
ER -

References

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  1. [1] A. Lichnerowicz, (1977), Les variétés de Poisson et leurs algèbres de Lie associées (Jour. Diff. Geometry, vol. 12 n°12) Zbl0405.53024MR501133
  2. [2] J. Braconnier (1977), Sur les crochets généralisés et quelques unes de leurs applications (Pub. Dep. Math. Lyon, T. 14 n° 4) Zbl0397.17004MR520992
  3. [3] R. Ouzilou (1983), Hamiltonian actions on Poisson manifolds (Research Notes in mathematics80 - Pitman). Zbl0514.58010MR712169
  4. [4] A. Lichnerowicz (1975), Algèbres de Lie attachées à une cariété canonique (Jour. Math. Pures Appl. T. 54 n° 6). Zbl0318.53041
  5. [5] (a) M. Adler (1979), On a trace fonctional for formal pseudo-differential operators and the symplectic structure of K.d.V. equation (Inv. Math.50) Zbl0393.35058
  6. (b) Lebedev-Manin, (1979), The Gelfand-Dikii hamiltonian operators and the co-adjoint representation of Volterra groups. Zbl0455.58012
  7. (c) G. Wilson, (1979), Commuting flows and conservation law for Lax equations (Math. Proc. London Society). Zbl0427.35024MR530817
  8. [6] J. Helmstetter, (1982), Algèbres de Clifford et algèbres de Weyl, (Cahiers Math.Montpellier n° 25). Zbl0598.15023MR690062
  9. [7] Berezin-Perelomov, (1980), Group theoretical interpretation of the Kortewegde Vries type equations (Com. Math. Phys.74). Zbl0429.35062MR576268
  10. [8] Rieman & Semenov-Tian-Sanskii, (1980), Current algebras and non linear partial differential equations (Soviet Math. Dokl. Vol. 21 n° 2). Zbl0501.58018
  11. [9] R. Hermann, (1974), Geometric theory of non-linear differential equations (Vol. XIV, Math. Sciences Press). MR682775
  12. [10] A. Weinstein, (1982), The local structure of Poisson manifolds (Center of Pures and Applied Math. Berkeley). Zbl0524.58011MR723816

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