On Darboux transformations for the derivative nonlinear Schrödinger equation

被引：0
|
作者：
Jonathan J. C. Nimmo
Halis Yilmaz
机构：
[1] University of Glasgow,School of Mathematics and Statistics
[2] University of Dicle,Department of Mathematics
来源：
Journal of Nonlinear Mathematical Physics | 2014年 / 21卷
关键词：
Derivative nonlinear Schrödinger equation; Darboux transformation; Quasideterminants; 35C08; 35Q55; 37K10; 37K35;
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摘要：
We consider Darboux transformations for the derivative nonlinear Schrödinger 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 Schrödinger equation are given as explicit examples.
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页码：278 / 293
页数：15
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