Quasi-Grammian solutions of the coupled Gerdjikov-Ivanov equation

We construct the N-fold standard binary Darboux transformation (bDT) for the coupled Gerdjikov-Ivanov (cGI) equation. Then, using the bDT presented in this article, we explicitly construct the exact solutions of the cGI equation in terms of quasi-Grammians. As applications of the bDT, we present various particular solutions for the cGI equation, including soliton, breather, and rogue wave solutions.

Automated summary

We construct the N-fold standard binary Darboux transformation for the coupled Gerdjikov-Ivanov equation and use it to obtain explicit solutions of the equation in terms of quasi-Grammians. Furthermore, we present various particular solutions for the equation, including soliton, breather, and rogue wave solutions.