Explicit solutions of an integrable boundary value problem for the two-dimensional toda lattice

被引：0
|
作者：
V. L. Vereshchagin
机构：
[1] RAS,Institute of Mathematics with Computing Center, Ufa Science Center
来源：
Theoretical and Mathematical Physics | 2010年 / 165卷
关键词：
Toda chain; integrable boundary value problem; dressing procedure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain an explicit solution of the integrable boundary value problem for the two-dimensional Toda lattice using the inverse scattering method. We interpret the integrability property in terms of the corresponding linear problem, the Gel’fand-Levitan-Marchenko equation, and the dressing procedure. The simplest initial solutions of the boundary value problem become new nontrivial solutions after the dressing procedure is applied.
引用
收藏
页码：1256 / 1261
页数：5
相关论文
共 50 条
12345