La géométrie symplectique de l'espace des phases de l'équation de KdV périodique

D. Bättig

Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994)

  • page 1-10

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Bättig, D.. "La géométrie symplectique de l'espace des phases de l'équation de KdV périodique." Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994): 1-10. <http://eudml.org/doc/112075>.

@article{Bättig1993-1994,
author = {Bättig, D.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {KdV equation; symplectic space; Gardner bracket; action-angle variables},
language = {fre},
pages = {1-10},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {La géométrie symplectique de l'espace des phases de l'équation de KdV périodique},
url = {http://eudml.org/doc/112075},
year = {1993-1994},
}

TY - JOUR
AU - Bättig, D.
TI - La géométrie symplectique de l'espace des phases de l'équation de KdV périodique
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1993-1994
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 10
LA - fre
KW - KdV equation; symplectic space; Gardner bracket; action-angle variables
UR - http://eudml.org/doc/112075
ER -

References

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  1. [AN] Y.I. Arnold, S.P. Novikov (Eds): "Dynamical systems IV" Encyclopedia of Math. Sci., Springer1990. Zbl1048.00010MR1042758
  2. [BBGK1] D. Bättig, A. Bloch, J.C. Guillot, T. Kappeler: "La structure symplectique de l'espace de phase de l'équation de Korteweg-de Vries périodique". C.R.A.S., 317 (1993), Séries I, 1019-1022. Zbl0816.35119MR1249781
  3. [BBGK2] D. Bättig, A. Bloch, J.C. Guillot, T. Kappeler: "On the symplectic structure of the phase space for periodic KdV, Toda and defocussing NLS". Prépublication Ohio State University, Columbus (USA), 1993. Zbl0855.58035
  4. [FM] H. Flaschka, D. Mc Laughlin: "Canonically conjugate variables for the Korteweg de Vries equation and the Toda lattice with periodic boundary conditions". Progress of Theor. Phys.55 (1976), 438-456. Zbl1109.35374MR403368
  5. [GT] J.B. Garnett, E. Trubowitz: "Gaps and bands of one dimensional periodic Schrödinger Operators II". Comm. Math. Helv.62 (1987), 18-37. Zbl0649.34034MR882963
  6. [K] T. Kappeler: "Fibration of the phase space for the Korteweg-de Vries equation". Ann. Inst. Fourier41 (1991), 539-575. Zbl0731.58033MR1136595
  7. [MT1] H.P. Mc Kean, E.Trubowitz: "Hill's operator and hyperelliptic function theory in the presence of infinetely many branch points", CPAM24 (1976), 143-226. Zbl0339.34024MR427731
  8. [MT2] H.P. Mc Kean, E.Trubowitz: "Hill's surface and their theta functions", Bull. of AMS 84, 6 (1978), 1042-1085. Zbl0428.34026MR508448
  9. [PT] J. Pöschel, E. Trubowitz: "Inverse spectral theory", Academic Press, 1987. Zbl0623.34001MR894477

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