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arXiv · 1501.07634

Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations

Halis Yilmaz
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Abstract

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.

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Halis Yilmaz. 2015-01-29. Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations. https://doi.org/10.1080/14029251.2015.996438

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