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nlin.SI2015★ 74 cited
Binary Darboux Transformation for the Sasa-Satsuma Equation
Jonathan J. C. Nimmo, Halis Yilmaz
The Sasa-Satsuma equation is an integrable higher-order nonlinear Schrödinger equation. Higher-order and multicomponent generalisations of the nonlinear Schrödinger equation are im…
nlin.SI2015★ 46 cited
Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
Halis Yilmaz
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, solit…