Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis

Connection formulae for asymptotics of the fifth Painlevé transcendent on the real axis
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实轴上第五次Painlevé超越的渐近连接公式

DOI:
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发表时间:
2000
期刊:
影响因子:
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通讯作者:
A. V. Kitaev
A. V. Kitaev
中科院分区:
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文献类型:
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作者:
F. V. Andreev;A. V. Kitaev

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本文收集了第五阶Painleve方程一般解和一些特解在t→+ 0和t→+∞时渐近的联系结果。记住已经知道的和可能的应用,实际上,研究了一个稍微更一般的对象,即控制(2×2)矩阵线性ODE的等同构变形的非线性常微分方程系统。
In this work we collect together our connection results for asymptotics as t→ + 0 and t→ + ∞ of general and some special solutions of the fifth Painleve equation. Keeping in mind already known and possible applications, actually, a slightly more general object is studied, namely, a nonlinear system of ordinary differential equations (ODEs) governing isomonodromy deformations for the (2×2) matrix linear ODE, .