Gap estimates of the spectrum of the Zakharov-Shabat system

DOI10.1016/S0893-9659(98)00063-9zbMath0940.35186MaRDI QIDQ1808650

Boris S. Mityagin, Benoît Grébert, Thomas Kappeler

Publication date: 25 November 1999

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Lyapunov-Schmidt methodperiodic spectrumgap lengthZakharov-Shabat systems with complex periodic potentials

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items

Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property, Estimates of spectral gap lengths for Schrödinger and Dirac operators, On the spectrum of the periodic focusing Zakharov-Shabat operator, Spectral gaps of the periodic Schrödinger operator when its potential is an entire function., Spectral triangles of non-selfadjoint Hill and Dirac operators, KAM Theorem for the Nonlinear Schrödinger Equation, Multiplicities of the eigenvalues of periodic Dirac operators, Estimates for periodic Zakharov-Shabat operators, On the characterization of the smoothness of skew-adjoint potentials in periodic Dirac operators, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction, Instability zones of a periodic 1D Dirac operator and smoothness of its potential

Cites Work

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• The spectral theory of a functional-difference operator in conformal field theory