partial derivative-DRESSING METHOD FOR THREE-COMPONENT COUPLED NONLINEAR SCHRODINGER DINGER EQUATIONS

被引:1
|
作者
Yang, Shuxin [1 ,2 ]
Li, Biao [1 ]
机构
[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Peoples R China
[2] Zhejiang Pharmaceut Univ, Sch Fdn Studies, Ningbo 315500, Peoples R China
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 05期
基金
中国国家自然科学基金;
关键词
Three-component coupled nonlinear Schrodinger equations; lax pair; partial derivative-dressing method; soliton solution; INVERSE SCATTERING TRANSFORM; WAVES;
D O I
10.11948/20220549
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The dressing method based on 4 x 4 matrix partial derivative-problem is extended to study the three-component coupled nonlinear Schro<spacing diaeresis>dinger (3DNLS) equations. The spatial and time spectral problems related to the 3DNLS equations are derived via two linear constraint equations. A 3DNLS hierarchy with source is proposed by using recursive operator. The N-solitions of the 3DNLS equations are given based on the partial derivative<overline>-equation by selecting a spectral transformation matrix.
引用
收藏
页码:2523 / 2533
页数:11
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