LONG-TIME ASYMPTOTICS OF THE TODA LATTICE FOR DECAYING INITIAL DATA REVISITED

被引：47

作者：

Krueger, Helge ^{[1
]}

Teschl, Gerald ^{[2
,3
]}

机构：

[1] Rice Univ, Dept Math, Houston, TX 77005 USA

[2] Fac Math, A-1090 Vienna, Austria

[3] Inst Math Phys, A-1090 Vienna, Austria

来源：

REVIEWS IN MATHEMATICAL PHYSICS | 2009年 / 21卷 / 01期

基金：

奥地利科学基金会;

关键词：

Riemann-Hilbert problem; Toda lattice; solitons; INVERSE SCATTERING TRANSFORM; EQUATIONS; BEHAVIOR;

D O I：

10.1142/S0129055X0900358X

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The purpose of this article is to give a streamlined and self-contained treatment of the long-time asymptotics of the Toda lattice for decaying initial data in the soliton and in the similarity region via the method of nonlinear steepest descent.

引用

页码：61 / 109

页数：49

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