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Klein-Gordon-Maxwell systems in a bounded domain
The algebro-geometric initial value problem for the Ablowitz-Ladik hierarchy
1. | Department of Mathematics, University of Missouri, Columbia, MO 65211, United States |
2. | Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim |
3. | Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria, Austria |
The treatment of general (non-unitary) Lax operators associated with general coefficients for the Ablowitz-Ladik hierarchy poses a variety of difficulties that, to the best of our knowledge, are successfully overcome here for the first time. Our approach is not confined to the Ablowitz-Ladik hierarchy but applies generally to $(1+1)$-dimensional completely integrable soliton equations of differential-difference type.
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