The t→∞ asymptotic regime of the Cauchy problem solution for the Toda chain with threshold-type initial data

被引：4

作者：

Guseinov, IM ^{[1
]}

Khanmamedov, AK ^{[1
]}

机构：

[1] Rasul Zade Baku State Univ, Baku, Azerbaijan

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1999年 / 119卷 / 03期

关键词：

Inverse Scattering; Transition Coefficient; Toda Chain; Degenerate Kernel; Auxiliary Linear Problem;

D O I：

10.1007/BF02557384

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain formulas allowing us to find solutions of the Toda chain using the inverse scattering transform method and investigate the t --> infinity asymptotic behavior of the solutions.

引用

页码：739 / 749

页数：11

共 2 条

[1] Thet→∞ asymptotic regime of the Cauchy problem solution for the Toda chain with threshold-type Initial data
I. M. Guseinov
A. Kh. Khanmamedov
Theoretical and Mathematical Physics, 1999, 119 : 739 - 749
[2] The semiclassical modified nonlinear Schrodinger equation II: Asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial data
DiFranco, Jeffery C.
Miller, Peter D.
ALGEBRAIC AND GEOMETRIC ASPECTS OF INTEGRABLE SYSTEMS AND RANDOM MATRICES, 2013, 593 : 29 - +

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