2014•Physica ScriptaOpen access

The higher order rogue wave solutions of the Gerdjikov–Ivanov equation

Lijuan Guo, Yongshuai Zhang, Shuwei Xu, Zhiwei Wu, Jingsong He

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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Key concepts: Rogue wave, Soliton, Order (exchange), Mathematical physics, Term (time), Physics, Mathematical analysis, Mathematics