Purely imaginary eigenvalues of Zakharov-Shabat systems
نویسندگان
چکیده
منابع مشابه
Scattering Operators for Matrix Zakharov-Shabat Systems
In this article the scattering matrix pertaining to the defocusing matrix Zakharov-Shabat system on the line is related to the scattering operator arising from time-dependent scattering theory. Further, the scattering data allowing for a unique retrieval of the potential in the defocusing matrix Zakharov-Shabat system are characterized. Mathematics Subject Classification (2000). Primary 34A55, ...
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We consider the periodic Zakharov-Shabat operators on the real line. The spectrum of this operator consists of intervals separated by gaps with the lengths |gn| > 0, n ∈ Z. Let μn be the corresponding effective masses and let hn be heights of the corresponding slits in the quasimomentum domain. We obtain a priori estimates of sequences g = (|gn|)n∈Z, μ± = (μn )n∈Z, h = (hn)n∈Z in terms of weigh...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2002
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.65.036607