Riccati Equations Revisited: Linearization and Analytic Interpretation of Instanton-Type Solutions
Riccati Equations Revisited: Linearization and Analytic Interpretation of Instanton-Type Solutions
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重温 Riccati 方程：瞬子型解的线性化和解析解释
DOI：
10.1007/s11785-020-01033-y
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发表时间：
2020
影响因子：
0.8
通讯作者：
Takei Yoshitsugu
中科院分区：
文献类型：
--
作者：
Hirose Sampei;Kawai Takahiro;Sasaki Shinji;Takei Yoshitsugu;Takei Yoshitsugu
作为Painlevé方程的原型，本文讨论了带大参数的Riccati方程的瞬子型解.基于线性化及其修改后的版本，我们提供了一个解析解释的瞬子型解决方案，通过Borel重算技术。
As a prototype of Painlevé equations, we discuss instanton-type solutions of the Riccati equation with a large parameter in this paper. Based on the linearization and its modified version, we provide an analytic interpretation of instanton-type solutions through the Borel resummation technique.