Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy
classification
🌊 nlin.SI
math-phmath.MP
keywords
ablowitz-ladikhierarchyalgebro-geometricsolutionsadditioncomplex-valuedconstructionderivation
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We provide a detailed derivation of all complex-valued algebro-geometric finite-band solutions of the Ablowitz-Ladik hierarchy. In addition, we survey a recursive construction of the Ablowitz-Ladik hierarchy and its zero-curvature and Lax formalism.
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