Darboux transformations and new explicit solutions for the relativistic Volterra lattice

被引：4

作者：

Zhao, Hai-qiong ^{[1
]}

机构：

[1] Shanghai Univ Int Business & Econ, Sch Business Informat, Shanghai 201620, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 38卷

基金：

中国国家自然科学基金;

关键词：

Relativistic Volterra lattice; Darboux transformation; Explicit solution;

D O I：

10.1016/j.aml.2014.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Darboux transformations for the relativistic Volterra lattice (RVL) are derived with the help of a gauge transformation of the spectral problem. The determinant representation of n-fold Darboux transformation is established. As an application of the obtained Darboux transformations, new explicit solutions for the RVL are given. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：79 / 83

页数：5

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