Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation

被引：68

作者：

Zhang, Yongshuai ^{[1
]}

Cheng, Yi ^{[1
]}

He, Jingsong ^{[2
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

[2] Ningbo Univ, Dept Math, Ningbo 315211, Zhejiang, Peoples R China

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2017年 / 24卷 / 02期

关键词：

Riemann-Hilbert problem; vector Gerdjikov-Ivanov equation; asymptotic analysis; soliton; KORTEWEG-DEVRIES EQUATION; DARBOUX TRANSFORMATION;

D O I：

10.1080/14029251.2017.1313475

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Riemann-Hilbert method for initial problem of the vector Gerdjikov-Ivanov equation, and obtain the formula for its N-soliton solution, which is expressed as a ratio of (N+1) x (N+1) determinant and N x N determinant. Furthermore, by applying asymptotic analysis, the simple elastic interactions of N-soliton are confirmed, and the shifts of phase and position are also explicitly displayed.

引用

页码：210 / 223

页数：14

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