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

被引：0
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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
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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.
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页码：275 / 278
页数：4
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