In this article we prove that the discrete eigenvalues of the Zakharov-Shabat system belong to certain neighborhoods of the endpoints of the spectral gap and the discrete eigenvalue of the free Hamiltonian.
On the location of the discrete eigenvalues for defocusing Zakharov-Shabat systems having potentials with nonvanishing boundary conditions
DEMONTIS, FRANCESCO;VAN DER MEE, CORNELIS VICTOR MARIA;
2015-01-01
Abstract
In this article we prove that the discrete eigenvalues of the Zakharov-Shabat system belong to certain neighborhoods of the endpoints of the spectral gap and the discrete eigenvalue of the free Hamiltonian.
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