Browsing by Author "Nimmo, Jonathan J.C."

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Binary Darboux transformation for the Sasa-Satsuma equation

Nimmo, Jonathan J.C.; Yılmaz, Halis (Institute of Physics Publishing, 2015)

The Sasa–Satsuma equation is an integrable higher-order nonlinear Schrödinger (NLS) equation. Higher-order and multicomponent generalizations of the NLS equation are important in various applications, e.g., in optics. One ...
On Darboux transformations for the derivative nonlinear Schrödinger equation

Nimmo, Jonathan J.C.; Yılmaz, Halis (Lulea University of Technology, 2014)

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 ...