Solutions of the Painlevé VI Equation from Reduction of Integrable Hierarchy in a Grassmannian Approach-Reference-Cited by-同舟云学术

Solutions of the Painlevé VI Equation from Reduction of Integrable Hierarchy in a Grassmannian Approach

Published:2008-01-01 Issue: Volume:2008 Page:
ISSN:1687-0247
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Aratyn Henrik¹,van de Leur Johan²

Affiliation:

1. Department of Physics, University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607-7059, USA

2. Mathematical Institute, University of Utrecht, P.O. Box 80010, 3508 TA Utrecht, The Netherlands

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/doi/10.1093/imrn/rnn080/19151410/rnn080.pdf

Reference26 articles.

1. Solutions of the WDVV equations and integrable hierarchies of KP type;Aratyn;Communications in Mathematical Physics,2003

2. Integrable structure behind WDVV equations;Aratyn;Theoretical and Mathematical Physics,2003

3. The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painleve VI;Aratyn;Annales de l’Institut Fourier,2005

4. Clifford algebra derivations of tau functions for two-dimensional integrable models with positive and negative flows;Aratyn;Symmetry, Integrability and Geometry: Methods and Applications,2007

5. Painlevé equations and complex reflections;Boalch;Annales de l’Institut Fourier, Grenoble,2003

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1. Bäcklund transformations for certain rational solutions of Painlevé VI;Journal of Nonlinear Mathematical Physics;2021

2. Coalescence, deformation and Bäcklund symmetries of Painlevé IV and II equations;Journal of Physics A: Mathematical and Theoretical;2020-10-09

3. Curves in isomonodromy and isospectral deformations: Painlevé VI as a case study;Algebraic Curves and Their Applications;2019

4. From the Darboux–Egorov system to bi-flat F-manifolds;Journal of Geometry and Physics;2013-08

5. Darboux–Egorov System, Bi-flat F-Manifolds and Painlevé VI;International Mathematics Research Notices;2013-03-15