Gap estimates of the spectrum of the Zakharov-Shabat system

Applied Mathematics Letters

Volumn 11, Issue 4, 1998, Pages 95-97

  Grebert B ^a,b   Kappeler, T ^b   Mityagin, B ^c  

^a INSTITUT DE MATHÉMATIQUES DE TOULOUSE   (France)

^b UNIVERSITY OF ZURICH   (Switzerland)

^c OHIO STATE UNIVERSITY   (United States)

Author keywords

Gap estimates; Lyapunov Schmidt method; Periodic spectrum; Zakharov Shabat system

Indexed keywords

EID: 0010068250     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(98)00063-9     Document Type: Article

References (7)

1. V. Zakharov and A. Shabat, A scheme for integrating nonlinear equations of mathematical physics by the method of the inverse scattering problem, Functional Anal. Appl. 8, 226-235 (1974).
2. L.D. Faddeev and L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons, Springer Verlag, (1987).
3. M.I. Ablowitz, D.I. Kaup, A.C. Newell and H. Segur, The inverse scattering transform - Fourier analysis for nonlinear problems, Stud. Appl. Math. 54, 249-315 (1974).
4. V.A. Marchenko, Sturm-Liouville operators and applications, In Operator Theory: Advances and Applications, Volume 22, Birkhäuser, (1986).
5. B. Grébert and J.C. Guillot, Gaps of one dimensional periodic AKNS systems, Forum Math. 5, 459-504 (1993).
6. T. Kappeler and B. Mityagin, Gap estimates of the spectrum of Hill's equation and action angle variables for KdV (preprint).
7. B. Grébert and T. Kappeler, Gaps estimates of the spectrum of Zakharov-Shabat systems (preprint).