The higher order Rogue Wave solutions of the Gerdjikov-Ivanov equation
Lijuan Guo, Yongshuai Zhang, Shuwei Xu, Zhiwei wu, Jingsong He
TL;DR
This paper explicitly constructs higher order rogue wave solutions for the Gerdjikov-Ivanov equation using determinant expressions, revealing new solution structures and discussing their dynamics.
Contribution
It introduces a novel explicit determinant-based method for higher order rogue wave solutions of the Gerdjikov-Ivanov equation, including new solution structures.
Findings
New higher order rogue wave solutions constructed
Determinant expressions enable explicit solution forms
Diverse solution structures and dynamics analyzed
Abstract
We construct higher order rogue wave solutions for the Gerdjikov-Ivanov equation explicitly in term of determinant expression. Dynamics of both soliton and non-soliton solutions is discussed. A family of solutions with distinct structures are presented, which are new to the Gerdjikov-Ivanov equation.
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