Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations

被引：47
|
作者：
Yilmaz, Halis [1 ,2 ]
机构：
[1] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QW, Lanark, Scotland
[2] Dicle Univ, Dept Math, TR-21280 Diyarbakir, Turkey
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2015年 / 22卷 / 01期
关键词：
Gerdjikov-Ivanov equation; Derivative nonlinear Schrodinger equation; Darboux transformation; Quasideterminants; 35C08; 35Q55; 37K10; 37K35; ROGUE WAVES; SOLITON; SYSTEMS;
D O I：
10.1080/14029251.2015.996438
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Gerdjikov-Ivanov (GI) equation and present a standard Darboux transformation for it. The solution is given in terms of quasideterminants. Further, the parabolic, soliton and breather solutions of the GI equation are given as explicit examples.
引用
收藏
页码：32 / 46
页数：15
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