On the instanton-type expansions for Painlevé transcendents and elliptic functions
- Resource Type
- Book
- Authors
- Takei, Yoshitsugu
- Source
- Complex Differential and Difference Equations: Proceedings of the School and Conference held at Będlewo, Poland, September 2-15, 2018. :365-378
- Subject
- Language
In this paper, we propose a new analytic interpretation of instanton-type solutions of Painlevé equations based on an idea to relate Painlevé transcendents and elliptic functions through the Birkhoff normal form theory. We also discuss the relationship between different classes of instanton-type solutions for an equation of the Weierstrass P-function.