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KleinGordonMaxwell systems in a bounded domain
The algebrogeometric initial value problem for the AblowitzLadik hierarchy
1.  Department of Mathematics, University of Missouri, Columbia, MO 65211, United States 
2.  Department of Mathematical Sciences, Norwegian University of Science and Technology, NO7491 Trondheim 
3.  Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, 1090 Wien, Austria, Austria 
The treatment of general (nonunitary) Lax operators associated with general coefficients for the AblowitzLadik 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 AblowitzLadik hierarchy but applies generally to $(1+1)$dimensional completely integrable soliton equations of differentialdifference type.
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