On Darboux transformations for the derivative nonlinear Schrodinger equation

被引：14

作者：

Nimmo, Jonathan J. C. ^{[1
]}

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 | 2014年 / 21卷 / 02期

关键词：

Derivative nonlinear Schrodinger equation; Darboux transformation; Quasideterminants; SELF-PHASE MODULATION; QUASIDETERMINANT SOLUTIONS; MULTISOLITON SOLUTIONS; HIERARCHY; DETERMINANTS; SOLITON;

D O I：

10.1080/14029251.2014.905301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Darboux transformations for the derivative nonlinear Schrodinger equation. A new theorem for Darboux transformations of operators with no derivative term are presented and proved. The solution is expressed in quasideterminant forms. Additionally, the parabolic and soliton solutions of the derivative nonlinear Schrodinger equation are given as explicit examples.

引用

页码：278 / 293

页数：16

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