Partial Differential system in two variables with W(D₆⁽¹⁾)-symmetry and the Garnier system in two variables

2007/10/23 by Yusuke Sasano, Sasano, Yusuke
Mathematics · Physics and Astronomy · #32S65 #34M45 #34M55 #58F05 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0710.4295

openalex publication_date 2007/10/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this note, we will compare the Garnier system in two variables with four-dimensional partial differential system in two variables with W(D₆⁽¹⁾)-symmetry. Both systems are different in each compactification in the variables q₁,q₂, however, has same five holomorphy conditions in the variables p₁,p₂.

Related

• Studies on the Garnier system in two variables
• Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables
• Remark on the Garnier system in two variables
• Five-parameter family of partial differential systems in two variables
• The Boussinesq integrable system. Compatible lattice and continuum structures