Abstract
We analyze isospectral sets of potentials associated with generalized periodic boundary conditionsB inSL (2, ℝ) for the 2 ×2AKNS systems on the unit interval. WhenB is a rotation we get the usual periodic case. WhenB is not a rotation isospectral sets are cylindrical real analytic submanifolds ofL 2ℝ ([0, 1])2 ×SL(2, ℝ) and their sections for fixed boundary conditions are real analytic submanifolds ofL 2ℝ ([0, 1])2.
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Amour, L., Guillot, J.C. Isospectral sets for akns systems on the unit interval with generalized periodic boundary conditions. Geometric and Functional Analysis 6, 1–27 (1996). https://doi.org/10.1007/BF02246765
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DOI: https://doi.org/10.1007/BF02246765