Application to the Noumi-Yamada System with a Large Parameter

Part of the SpringerBriefs in Mathematical Physics book series (BRIEFSMAPHY, volume 4)


It is known that a traditional Painlevé equation (of the variable t) is obtained by the compatibility condition of a system of second order linear differential equations of the variables x and t. Here, when we focus upon the underlying linear system, the latter variable t is often called a deformation parameter. We can consider, with the appropriate introduction of a large parameter \(\eta \) into these systems, the Stokes geometry for both the linear and non-linear systems in the same way as that described in the previous chapter.


Turning Point Leaf Node Binary Tree Deformation Parameter Linear Differential Equation 
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© The Author(s) 2015

Authors and Affiliations

  • Naofumi Honda
    • 1
  • Takahiro Kawai
    • 2
  • Yoshitsugu Takei
    • 2
  1. 1.Department of MathematicsHokkaido UniversitySapporoJapan
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan

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