@article{CM_1993__85_2_163_0, author = {B\"attig, D. and Gr\'ebert, B. and Guillot, J. C. and Kappeler, T.}, title = {Foliation of phase space for the cubic non-linear {Schr\"odinger} equation}, journal = {Compositio Mathematica}, pages = {163--199}, publisher = {Kluwer Academic Publishers}, volume = {85}, number = {2}, year = {1993}, mrnumber = {1204779}, zbl = {0783.35068}, language = {en}, url = {http://www.numdam.org/item/CM_1993__85_2_163_0/} }
TY - JOUR AU - Bättig, D. AU - Grébert, B. AU - Guillot, J. C. AU - Kappeler, T. TI - Foliation of phase space for the cubic non-linear Schrödinger equation JO - Compositio Mathematica PY - 1993 SP - 163 EP - 199 VL - 85 IS - 2 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1993__85_2_163_0/ LA - en ID - CM_1993__85_2_163_0 ER -
%0 Journal Article %A Bättig, D. %A Grébert, B. %A Guillot, J. C. %A Kappeler, T. %T Foliation of phase space for the cubic non-linear Schrödinger equation %J Compositio Mathematica %D 1993 %P 163-199 %V 85 %N 2 %I Kluwer Academic Publishers %U http://www.numdam.org/item/CM_1993__85_2_163_0/ %G en %F CM_1993__85_2_163_0
Bättig, D.; Grébert, B.; Guillot, J. C.; Kappeler, T. Foliation of phase space for the cubic non-linear Schrödinger equation. Compositio Mathematica, Tome 85 (1993) no. 2, pp. 163-199. http://www.numdam.org/item/CM_1993__85_2_163_0/
[Dui] On global action-angle coordinates, CPAM 33 (1980), p. 687-706. | MR | Zbl
[Gar-Tru 1] Gaps and bands of one dimensional periodic Schrödinger operators. Comment. Math. Helvetici, 59, p. 258-312 (1984). | MR | Zbl
and[Gar-Tru 2] Gaps and bands of one dimensional periodic Schrödinger operators II. Comment. Math. Helvetici, 62, p. 18-37 (1987). | MR | Zbl
and[Gre] Problèmes spectraux inverses pour les systèmes AKNS sur la droite réelle. Thèse de I'Université Paris-Nord. Mai 1990.
[Gre-Gui] Gaps of one dimensional periodic AKNS systems. Rapport du Centre de Mathématiques Appliquées de l'Ecole Polytechnique no. 215. Juin 1990. To appear in Forum Mathematicum. | MR | Zbl
and[Ka] Perturbation theory for linear operators. 2nd ed., Springer-Verlag, 1976. | MR | Zbl
[Kp] Foliation by the Korteweg-de Vries equation (to appear in Ann. Inst. Fourier).
[Mck-Tru] Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points. C.P.A.M. 29, p. 143-226 (1976). | MR | Zbl
,[Pö-Tru] Inverse Spectral Theory. Academic Press (1987). | MR | Zbl
and[P-S] Aufgaben und Lehrsätze aus der Analysis. Vol. 2, 3rd ed., Grundlehren, Bd 20, Springer-Verlag, New York, 1964. | Zbl
and[Pre] Hyperelliptic quasi-periodic and solitons solutions of the nonlinear Schrödinger equation. Duke Math. J. 52, p. 329-377 (1985). | MR | Zbl
[Sim] Trace ideals. Cambridge University Press, 1979. | MR
[Tru] The inverse problem for periodic potentials. C.P.A.M., 30, p. 321-337 (1977). | MR | Zbl