Total integrals of Ablowitz-Segur solutions for the inhomogeneous Painleve II equation

被引：4

作者：

Kokocki, Piotr ^{[1
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland

来源：

STUDIES IN APPLIED MATHEMATICS | 2020年 / 144卷 / 04期

关键词：

asymptotic expansion; geometric flow; Painleve II equation; Riemann-Hilbert-problem; ASYMPTOTICS;

D O I：

10.1111/sapm.12307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a formula determining the value of the Cauchy principal value integrals of the real and purely imaginary Ablowitz-Segur solutions for the inhomogeneous second Painleve equation. Our approach relies on the analysis of the corresponding Riemann-Hilbert problem and the construction of an appropriate parametrix in a neighborhood of the origin. Obtained integral formulas are consistent with already known analogous results for the Ablowitz-Segur solutions of the homogeneous Painleve II equation.

引用

页码：504 / 547

页数：44

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