Painlevé Test and a Self-Similar Solution of the Kinetic Model

被引：0
|
作者：
Dukhnovskii S.A. [1 ]
机构：
[1] Moscow State University of Civil Engineering (National Research University), Moscow
来源：
Journal of Mathematical Sciences | 2023年 / 275卷 / 5期
关键词：
35L45; 35L60; 35Q20; McKean system; Painlevé; test; self-similar solution;
D O I：
10.1007/s10958-023-06702-9
中图分类号：
学科分类号：
摘要：
We study a one-dimensional system of equations for a discrete gas model (the McKean system). The McKean system is the Boltzmann kinetic equation of a model one-dimensional gas consisting of two groups of particles. Under certain conditions on a singularity variety, the system passes the Painlevé test. In addition, the kinetic system admits a reduction to a system of ordinary differential equations for which the Painlevé test is performed and it becomes possible to find a solution. © 2023, Springer Nature Switzerland AG.
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页码：613 / 616
页数：3
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