THE ALGEBRAIC REPRESENTATION FOR HIGH ORDER SOLUTION OF SASA-SATSUMA EQUATION

被引：23

作者：

Ling, Liming ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Darboux transformation; high order solution; Sasa-Satsuma equation; NONLINEAR SCHRODINGER-EQUATION; SOLITON-SOLUTIONS; DARBOUX TRANSFORMATION; DARK SOLITON; WAVES; INTEGRABILITY;

D O I：

10.3934/dcdss.2016081

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we reestablish the elementary Darboux transformation for Sasa-Satsuma equation with the aid of loop group method. Furthermore, the generalized Darboux transformation is given with the limit technique. As direct applications, we give the single solitonic solutions for the focusing and defocusing case. The general high order solution formulas with the determinant form are obtained through generalized DT and the formal series method.

引用

页码：1975 / 2010

页数：36

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