114 citations · 767 across the 136 of their papers we have counts for
5 papers · 2 filters
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…
Dubrovin equations and integrable systems on hyperelliptic curves
F. Gesztesy, H. Holden
We introduce the most general version of Dubrovin-type equations for divisors on a hyperelliptic curve of arbitrary genus, and provide a new argument for linearizing the correspond…