The higher order rogue wave solutions of the Gerdjikov-Ivanov equation

被引：97

作者：

Guo, Lijuan ^{[1
]}

Zhang, Yongshuai ^{[1
]}

Xu, Shuwei ^{[2
]}

Wu, Zhiwei ^{[1
]}

He, Jingsong ^{[1
]}

机构：

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

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

来源：

PHYSICA SCRIPTA | 2014年 / 89卷 / 03期

关键词：

Darboux transformation; higher order rogue wave; Gerdjikov-Ivanov equation; SELF-PHASE MODULATION; WATER-WAVES; SYSTEMS;

D O I：

10.1088/0031-8949/89/03/035501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct higher order rogue wave solutions for the Gerdjikov-Ivanov equation explicitly in terms of a determinant expression. The dynamics of both soliton and non-soliton solutions is discussed. A family of solutions with distinct structures, which are new to the Gerdjikov-Ivanov equation, are presented.

引用

页数：11

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