Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy
arXiv:nlin/0611055 · doi:10.1093/imrn/rnm082
Abstract
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.
arXiv comment41 pages
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- Local Conservation Laws and the Hamiltonian Formalism for the Ablowitz-Ladik Hierarchy
- Weyl matrix functions and inverse problems for discrete Dirac type self-adjoint system: explicit and general solutions
- Tau-functions for the Ablowitz--Ladik hierarchy: the matrix-resolvent method
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- The Ablowitz-Ladik Hierarchy Revisited