DARBOUX TRANSFORMATION AND HIGHER-ORDER SOLUTIONS OF THE SASA-SATSUMA EQUATION

被引：0
|
作者：
Guo, Lijuan [1 ]
Cheng, Yi [1 ]
Mihalache, Dumitru [2 ]
He, Jingsong [3 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Horia Hulubei Natl Inst Phys & Nucl Engn, Reactorului 30,POB MG-6, RO-077125 Bucharest, Romania
[3] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China
来源：
ROMANIAN JOURNAL OF PHYSICS | 2019年 / 64卷 / 1-2期
关键词：
Sasa-Satsuma equation; Darboux transformation; W-shaped rational solitons; Semi-rational solitons; Periodic solutions; ROGUE WAVES; SOLITON-SOLUTIONS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We derive a general n-fold Darboux transformation (DT) matrix T-n for the integrable Sasa-Satsuma equation. The elements of the matrix T-n are expressed in compact determinant forms. Through the detailed analysis of the linear instability phenomenon, different kinds of solitons on a continuous wave background are obtained by using the DT, including W-shaped first-order and second-order rational solutions, coexisting W-shaped second-order rational solutions, first-order semi-rational solutions, first-order and second-order periodic solutions, first-order half-periodic solutions, and second-order breather-positon solutions.
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页数：20
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