Integral transformation and Darboux transformation
Classical Analysis and ODEs
2014-11-20 v1 Mathematical Physics
math.MP
Abstract
We review Darboux-Crum transformation of Heun's differential equation. By rewriting an integral transformation of Heun's differential equation into a form of elliptic functions, we see that the integral representation is a generalization of Darboux-Crum transformation. We also consider conservation of monodromy with respect to the transformations.
Keywords
Cite
@article{arxiv.0911.2162,
title = {Integral transformation and Darboux transformation},
author = {Kouichi Takemura},
journal= {arXiv preprint arXiv:0911.2162},
year = {2014}
}
Comments
7 pages, based on the talk presented at International Workshop on Nonlinear and Modern Mathematical Physics, China, 19th July 2009