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arxiv: 1501.07634 · v1 · pith:23N7AOISnew · submitted 2015-01-29 · 🌊 nlin.SI

Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations

classification 🌊 nlin.SI
keywords equationdarbouxgerdjikov-ivanovgivensolutionsbreatherexactexamples
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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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