Bispectral Operators, Dual Isomonodromic Deformations and the Riemann-Hilbert Dressing Method
Harnad, J.
arXiv, 9710016 / Harvested from arXiv
A comparison is made between bispectral systems and dual isomonodromic deformation equations. A number of examples are given, showing how bispectral systems may be embedded into isomonodromic ones. Sufficiency conditions are given for the construction of rational solutions of isomonodromic deformation equations through the Riemann-Hilbert problem dressing method, and these are shown, in certain cases, to reduce to bispectral systems.
Publié le : 1997-10-22
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  High Energy Physics - Theory,  Mathematical Physics
@article{9710016,
     author = {Harnad, J.},
     title = {Bispectral Operators, Dual Isomonodromic Deformations and the
  Riemann-Hilbert Dressing Method},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9710016}
}
Harnad, J. Bispectral Operators, Dual Isomonodromic Deformations and the
  Riemann-Hilbert Dressing Method. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9710016/