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

被引：45

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

共 50 条

[1] ON THE LONG-TIME BEHAVIOR OF THE DOUBLY INFINITE TODA LATTICE UNDER INITIAL DATA DECAYING AT INFINITY
KAMVISSIS, S
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 153 (03) : 479 - 519
[2] Long-time asymptotics for the Toda lattice in the soliton region
Krueger, Helge
Teschl, Gerald
[J]. MATHEMATISCHE ZEITSCHRIFT, 2009, 262 (03) : 585 - 602
[3] Long-time asymptotics for the Toda lattice in the soliton region
Helge Krüger
Gerald Teschl
[J]. Mathematische Zeitschrift, 2009, 262 : 585 - 602
[4] Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data
Geng, Xianguo
Liu, Wenhao
Li, Ruomeng
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 386 : 113 - 163
[5] Long-time asymptotics for the integrable nonlocal Lakshmanan–Porsezian–Daniel equation with decaying initial value data
Peng, Wei-Qi
Chen, Yong
[J]. Applied Mathematics Letters, 2024, 152
[6] Long-time asymptotics of the periodic Toda lattice under short-range perturbations
Kamvissis, Spyridon
Teschl, Gerald
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (07)
[7] Long-time asymptotics for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation with decaying initial value data
Peng, Wei-Qi
Chen, Yong
[J]. APPLIED MATHEMATICS LETTERS, 2024, 152
[8] Long-time asymptotics for Toda shock waves in the modulation region
Egorova, Iryna
Michor, Johanna
Pryimak, Anton
Teschl, Gerald
[J]. JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2023, 19 (02) : 396 - 442
[9] Long-time asymptotics to the defocusing generalized nonlinear Schrodinger equation with the decaying initial value problem
Li, Jian
Xia, Tiecheng
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (18) : 18706 - 18728
[10] Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: Without solitons
Xu, Jian
Fan, Engui
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (03) : 1098 - 1148

← 1 2 3 4 5 →