Explicit quasi-periodic solutions of the Kaup-Newell hierarchy

被引：19

作者：

Geng, Xianguo ^{[1
]}

Li, Zhu ^{[1
]}

Xue, Bo ^{[1
]}

Guan, Liang ^{[1
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 425卷 / 02期

基金：

中国国家自然科学基金;

关键词：

The Kaup-Newell hierarchy; Quasi-periodic solutions; NONLINEAR SCHRODINGER-EQUATION; ALGEBRO-GEOMETRIC SOLUTIONS; BACKLUND-TRANSFORMATIONS; SOLITON-EQUATIONS; SPECTRAL PROBLEM; FORMULATION; SYSTEMS; FLOWS; MODEL;

D O I：

10.1016/j.jmaa.2015.01.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An algebraic curve of arithmetic genus n is introduced with the aid of the Lax matrix, from which we construct the meromorphic function on the algebraic curve and investigate its properties. Further, we straighten out all the flows associated with the Kaup-Newell hierarchy under the Abel-Jacobi coordinates. Finally, we achieve the explicit quasi-periodic solutions for the whole Kaup-Newell hierarchy, including the coupled derivative nonlinear Schrodinger equations. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：1097 / 1112

页数：16

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