The higher order Rogue Wave solutions of the Gerdjikov-Ivanov equation

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.

References in corpus (3)

• A generating mechanism for higher order rogue waves
• Capillary rogue waves
• On the nonlinear stage of Modulation Instability

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