Complex Toda chains related to the simple Lie algebras: Irregular, periodic and degenerate solutions

被引：0

作者：

Gerdjikov, VS ^{[1
]}

Evstatiev, EG ^{[1
]}

Ivanov, RI ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Nucl Res & Nucl Energy, BU-1784 Sofia, Bulgaria

来源：

PROCEEDINGS OF THE WORKSHOP ON NONLINEARITY, INTEGRABILITY AND ALL THAT: TWENTY YEARS AFTER NEEDS '79 | 2000年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explicit parametrization of the solutions of the CTC for all simple Lie algebras from the classical series is proposed. The 2r (complex) parameters may be interpreted as action-angle variables of CTC. We exhibit classes of irregular solutions which have qualitatively different asymptotics for t --> +/-infinity. Using the spectral decomposition of the Lax matrix we briefly analyze the class of degenerate solutions.

引用

页码：275 / 278

页数：4

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