Density of finite gap potentials for the Zakharov-Shabat system

Grébert, B; Kappeler, T (2003). Density of finite gap potentials for the Zakharov-Shabat system. Asymptotic Analysis, 33(1):1-8.

Abstract

For various spaces of potentials we prove that the set of finite gap potentials of the Zakharov-Shabat system is dense. In particular our result holds for Sobolev spaces and for spaces of analytic potentials of a given type.

Abstract

For various spaces of potentials we prove that the set of finite gap potentials of the Zakharov-Shabat system is dense. In particular our result holds for Sobolev spaces and for spaces of analytic potentials of a given type.

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