114 citations · 767 across the 136 of their papers we have counts for
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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…
A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure
Fritz Gesztesy, Barry Simon
We continue the study of the A-amplitude associated to a half-line Schrodinger operator, -d^2/dx^2+ q in L^2 ((0,b)), b <= infinity. A is related to the Weyl-Titchmarsh m-function…
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…