Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation

M. V. Babich, S. Yu Slavyanov

Research outputpeer-review

Abstract

Famous Painlevé VI equation is connected with the linear differential equations of Fuchsian type by different links. Nevertheless, there is a common point. It is the Hamiltonian nature of the Painlevé equation. We demonstrate how the different normalizations draw us to the different approaches to the problem.

Original languageEnglish
Title of host publicationProceedings of the International Conference Days on Diffraction, DD 2018
EditorsA.Ya. Kazakov, A.P. Kiselev, L.I. Goray, O.V. Motygin
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages24-26
Number of pages3
ISBN (Electronic)9781728103136
DOIs
Publication statusPublished - 29 Nov 2018
EventInternational conference Days on Diffraction-2018 - St. Petersburg
Duration: 4 Jun 20188 Jun 2018

Conference

Conference2018 International Conference Days on Diffraction, DD 2018
CountryRussian Federation
CitySt. Petersburg
Period4/06/188/06/18

Fingerprint

Heun Equation
Hamiltonians
linear systems
Linear systems
Differential equations
Linear Systems
Linear differential equation
Normalization
differential equations
Demonstrate

Scopus subject areas

  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Computational Mathematics
  • Astronomy and Astrophysics
  • Radiation

Cite this

Babich, M. V., & Slavyanov, S. Y. (2018). Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. In A. Y. Kazakov, A. P. Kiselev, L. I. Goray, & O. V. Motygin (Eds.), Proceedings of the International Conference Days on Diffraction, DD 2018 (pp. 24-26). [8553422] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2018.8553422
Babich, M. V. ; Slavyanov, S. Yu. / Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. Proceedings of the International Conference Days on Diffraction, DD 2018. editor / A.Ya. Kazakov ; A.P. Kiselev ; L.I. Goray ; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. pp. 24-26
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Babich, MV & Slavyanov, SY 2018, Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. in AY Kazakov, AP Kiselev, LI Goray & OV Motygin (eds), Proceedings of the International Conference Days on Diffraction, DD 2018., 8553422, Institute of Electrical and Electronics Engineers Inc., pp. 24-26, St. Petersburg, 4/06/18. https://doi.org/10.1109/DD.2018.8553422

Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. / Babich, M. V.; Slavyanov, S. Yu.

Proceedings of the International Conference Days on Diffraction, DD 2018. ed. / A.Ya. Kazakov; A.P. Kiselev; L.I. Goray; O.V. Motygin. Institute of Electrical and Electronics Engineers Inc., 2018. p. 24-26 8553422.

Research outputpeer-review

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Babich MV, Slavyanov SY. Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation. In Kazakov AY, Kiselev AP, Goray LI, Motygin OV, editors, Proceedings of the International Conference Days on Diffraction, DD 2018. Institute of Electrical and Electronics Engineers Inc. 2018. p. 24-26. 8553422 https://doi.org/10.1109/DD.2018.8553422