114 citations · 767 across the 136 of their papers we have counts for
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Integrable Systems in the Infinite Genus Limit
Fritz Gesztesy
We provide an elementary approach to integrable systems associated with hyperelliptic curves of infinite genus. In particular, we explore the extent to which the classical Burchnal…
Darboux-type transformations and hyperelliptic curves
Fritz Gesztesy, Helge Holden
We systematically study Darboux-type transformations for the KdV and AKNS hierarchies and provide a complete account of their effects on hyperelliptic curves associated with algebr…
The classical Boussinesq hierarchy revisited
Fritz Gesztesy, Helge Holden
We develop a systematic approach to the classical Boussinesq (cBsq) hierarchy based on an elementary polynomial recursion formalism. Moreover, the gauge equivalence between the cBs…
The Cole-Hopf and Miura transformations revisited
Fritz Gesztesy, Helge Holden
An elementary yet remarkable similarity between the Cole-Hopf transformation relating the Burgers and heat equation and Miura's transformation connecting the KdV and mKdV equations…
Elliptic Algebro-Geometric Solutions of the KdV and AKNS Hierarchies - An Analytic Approach
Fritz Gesztesy, Rudi Weikard
We provide an overview of elliptic algebro-geometric solutions of the KdV and AKNS hierarchies, with special emphasis on Floquet theoretic and spectral theoretic methods. Our treat…
Algebro-Geometric Solutions of the Boussinesq Hierarchy
Ronnie Dickson, Fritz Gesztesy, Karl Unterkofler
We continue a recently developed systematic approach to the Bousinesq (Bsq) hierarchy and its algebro-geometric solutions. Our formalism includes a recursive construction of Lax pa…