DYNAMICS OF ROGUE WAVES ON A MULTISOLITON BACKGROUND IN A VECTOR NONLINEAR SCHRODINGER EQUATION

被引：94
|
作者：
Mu, Gui [1 ]
Qin, Zhenyun [2 ,3 ]
Grimshaw, Roger [4 ]
机构：
[1] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China
[2] Fudan Univ, Sch Math Sci, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[3] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200433, Peoples R China
[4] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2015年 / 75卷 / 01期
基金：
上海市自然科学基金;
关键词：
vector nonlinear Schrodinger equations; rogue waves; Darboux-dressing transformation; SOLITON;
D O I：
10.1137/140963686
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
General higher-order rogue waves of a vector nonlinear Schrodinger equation (Manakov system) are derived using a Darboux-dressing transformation with an asymptotic expansion method. The Nth-order semirational solutions containing 3N free parameters are expressed in separation-of-variables form. These solutions exhibit rogue waves on a multisoliton background. They demonstrate that the structure of rogue waves in this two-component system is richer than that in a one-component system. Our results would be of much importance in understanding and predicting rogue wave phenomena arising in nonlinear and complex systems, including optics, fluid dynamics, Bose-Einstein condensates, and finance.
引用
收藏
页码：1 / 20
页数：20
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