Exact solutions of the Gerdjikov-Ivanov equation using Darboux transformations

preprint2015arXivOpen access

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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