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    Binary Darboux transformation for the Gerdjikov-Ivanov equation
    (Elsevier, 2022) Yilmaz, Halis
    We present a standard binary Darboux transformation for the Gerdjikov-Ivanov equation and then construct its quasigrammian solutions. Further, the multi-soliton, breather and rogue wave solutions of the Gerdjikov-Ivanov equation are given as particular examples.(c) 2022 Elsevier B.V. All rights reserved.
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    Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations
    (Taylor & Francis Ltd, 2015) Yilmaz, Halis
    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, soliton and breather solutions of the GI equation are given as explicit examples.