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

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-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
StatePublished - 29 Nov 2018
Event2018 International Conference Days on Diffraction, DD 2018 - St. Petersburg, Russian Federation
Duration: 4 Jun 20188 Jun 2018

Conference

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

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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abstract = "Famous Painlev{\'e} 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 Painlev{\'e} equation. We demonstrate how the different normalizations draw us to the different approaches to the problem.",
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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, 2018 International Conference Days on Diffraction, DD 2018, St. Petersburg, Russian Federation, 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 output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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T1 - Fuchsian Heun equation, equivalent Fuchsian linear systems and Painlevé PVI equation

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BT - Proceedings of the International Conference Days on Diffraction, DD 2018

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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