On Darboux transformations for the derivative nonlinear Schrödinger equation

Abstract

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.

14 pages

References in corpus (2)

• Bäcklund Transformations and the Atiyah-Ward ansatz for Noncommutative Anti-Self-Dual Yang-Mills Equations
• The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation

Cited by in corpus (3)

• Binary Darboux Transformation for the Sasa-Satsuma Equation
• Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
• Darboux Transformation for the Hirota equation