168 citations · 614 across the 54 of their papers we have counts for
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Real-valued algebro-geometric solutions of the two-component Camassa-Holm hierarchy
Jonathan Eckhardt, Fritz Gesztesy, Helge Holden +2
We provide a construction of the two-component Camassa-Holm (CH-2) hierarchy employing a new zero-curvature formalism and identify and describe in detail the isospectral set associ…
Local Conservation Laws and the Hamiltonian Formalism for the Toda Hierarchy Revisited
Fritz Gesztesy, Helge Holden
We revisit an elementary recursive approach to local conservation laws and the Hamiltonian formalism for the Toda hierarchy.
Spectral Analysis of Darboux Transformations for the Focusing NLS Hierarchy
Radu C. Cascaval, Fritz Gesztesy, Helge Holden +1
We study Darboux transformations associated with the focusing nonlinear Schrödinger equation (NLS_-) and their effect on spectral properties of the underlying Lax operator. The lat…
Real-Valued Algebro-Geometric Solutions of the Camassa--Holm hierarchy
Fritz Gesztesy, Helge Holden
We provide a treatment of real-valued, smooth, and bounded algebro-geometric solutions of the Camassa--Holm (CH) hierarchy and describe the associated isospectral torus. We also di…
Algebro-Geometric Solutions of the Camassa--Holm hierarchy
Fritz Gesztesy, Helge Holden
We provide a detailed treatment of the Camassa--Holm (CH) hierarchy with special emphasis on its algebro-geometric solutions. In analogy to other completely integrable hierarchies…
The classical massive Thirring system revisited
V. Z. Enolskii, F. Gesztesy, H. Holden
We provide a complete treatment of algebro-geometric solutions of the classical massive Thirring system. In particular, we study Dubrovin-type equations for auxiliary divisors, con…