Integrable systems and reductions of the self-dual Yang–Mills equations
Integrable systems and reductions of the self-dual Yang–Mills equations
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DOI：
10.1063/1.1586967
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发表时间：
2003-07
影响因子：
1.3
通讯作者：
M. Ablowitz;S. Chakravarty;R. Halburd
中科院分区：
文献类型：
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作者：
M. Ablowitz;S. Chakravarty;R. Halburd
已知许多可积方程是自对偶杨-米尔斯方程的约化。本文讨论了一些著名的约化，包括标准孤子方程、经典Painleve方程以及Darboux-Hézen系统和Chazy方程的可积推广。Chazy方程，第一次推导于1909年，被证明是对应的方程独立研究拉马努金在1916年。
Many integrable equations are known to be reductions of the self-dual Yang–Mills equations. This article discusses some of the well known reductions including the standard soliton equations, the classical Painleve equations and integrable generalizations of the Darboux–Halphen system and Chazy equations. The Chazy equation, first derived in 1909, is shown to correspond to the equations studied independently by Ramanujan in 1916.