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Riccati Equations Revisited: Linearization and Analytic Interpretation of Instanton-Type Solutions
Complex Analysis and Operator Theory ( IF 0.7 ) Pub Date : 2020-10-13 , DOI: 10.1007/s11785-020-01033-y Yoshitsugu Takei
中文翻译:
再次探讨Riccati方程:Instanton型解的线性化和解析解释
更新日期:2020-10-13
Complex Analysis and Operator Theory ( IF 0.7 ) Pub Date : 2020-10-13 , DOI: 10.1007/s11785-020-01033-y Yoshitsugu Takei
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.
中文翻译:
再次探讨Riccati方程:Instanton型解的线性化和解析解释
作为Painlevé方程的原型,我们讨论了具有较大参数的Riccati方程的瞬时型解。基于线性化及其修改版本,我们通过Borel复归技术提供对瞬时子型解的解析解释。