121 citations · 569 across the 23 of their papers we have counts for
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Algebro-Geometric Finite-Gap Solutions of the Ablowitz-Ladik Hierarchy
Fritz Gesztesy, Helge Holden, Johanna Michor +1
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 t…
Stability of Periodic Soliton Equations under Short Range Perturbations
Spyridon Kamvissis, Gerald Teschl
We consider the stability of (quasi-)periodic solutions of soliton equations under short range perturbations and give a complete description of the long time asymptotics in this si…
Algebro-Geometric Constraints on Solitons with Respect to Quasi-Periodic Backgrounds
Gerald Teschl
We investigate the algebraic conditions the scattering data of short-range perturbations of quasi-periodic finite-gap Jacobi operators have to satisfy. As our main result we provid…
The Algebro-Geometric Toda Hierarchy Initial Value Problem for Complex-Valued Initial Data
Fritz Gesztesy, Helge Holden, Gerald Teschl
We discuss the algebro-geometric initial value problem for the Toda hierarchy with complex-valued initial data and prove unique solvability globally in time for a set of initial (D…