@article{CM_1993__85_2_163_0, author = {B\"attig, Daniel and Gr\'ebert, B. and Guillot, Jean-Claude and Kappeler, Thomas}, title = {Foliation of phase space for the cubic non-linear Schr\"odinger equation}, journal = {Compositio Mathematica}, volume = {89}, year = {1993}, pages = {163-199}, mrnumber = {1204779}, zbl = {0783.35068}, language = {en}, url = {http://dml.mathdoc.fr/item/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 89 (1993) pp. 163-199. http://gdmltest.u-ga.fr/item/CM_1993__85_2_163_0/
[Dui] On global action-angle coordinates, CPAM 33 (1980), p. 687-706. | MR 596430 | Zbl 0439.58014
[Gar-Tru 1] Gaps and bands of one dimensional periodic Schrödinger operators. Comment. Math. Helvetici, 59, p. 258-312 (1984). | MR 749109 | Zbl 0554.34013
and[Gar-Tru 2] Gaps and bands of one dimensional periodic Schrödinger operators II. Comment. Math. Helvetici, 62, p. 18-37 (1987). | MR 882963 | Zbl 0649.34034
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 1107987 | Zbl 0784.34024
and[Ka] Perturbation theory for linear operators. 2nd ed., Springer-Verlag, 1976. | MR 407617 | Zbl 0148.12601
[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 427731 | Zbl 0339.34024
,[Pö-Tru] Inverse Spectral Theory. Academic Press (1987). | MR 894477 | Zbl 0623.34001
and[P-S] Aufgaben und Lehrsätze aus der Analysis. Vol. 2, 3rd ed., Grundlehren, Bd 20, Springer-Verlag, New York, 1964. | Zbl 0122.29704
and[Pre] Hyperelliptic quasi-periodic and solitons solutions of the nonlinear Schrödinger equation. Duke Math. J. 52, p. 329-377 (1985). | MR 792178 | Zbl 0578.35086
[Sim] Trace ideals. Cambridge University Press, 1979. | MR 541149
[Tru] The inverse problem for periodic potentials. C.P.A.M., 30, p. 321-337 (1977). | MR 430403 | Zbl 0403.34022