Long-time asymptotics for the Toda lattice in the soliton region

Long-time asymptotics for the Toda lattice in the soliton region
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DOI:
10.1007/s00209-008-0391-9
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发表时间:
2007-11
影响因子:
0.8
通讯作者:
H. Krüger;G. Teschl
H. Krüger;G. Teschl
中科院分区:
数学2区
文献类型:
--
作者:
H. Krüger;G. Teschl

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我们应用非线性最速下降法计算了户田格点在孤子区域内衰减初始数据时的长时间渐近性。此外,我们还指出了如何将剩余区域中的问题简化为已知的无孤子情形。
We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Toda lattice for decaying initial data in the soliton region. In addition, we point out how to reduce the problem in the remaining region to the known case without solitons.