Integral transformation and Darboux transformation

Details Integral transformation and Darboux transformation Integral transformation and Darboux transformation

2009-11-11

arxiv.org/abs/0911.2162v1

Mathematics

Classical Analysis and ODEs

7 pages, based on the talk presented at International Workshop on Nonlinear and Modern Mathematical Physics, China, 19th July

Scientific paper

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.

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