23 citations · 53 across the 4 of their papers we have counts for
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nlin.SI2006★ 15 cited
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…
nlin.SI2006★ 1 cited
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…