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.
You are on the new improved site. You can view the old site in view-only mode here until June 27, 2026
Select search scope: search across all journals or within the current journal
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.