Rogue-wave solutions of a three-component coupled nonlinear Schrodinger equation

Abstract

We investigate rogue-wave solutions in a three-component coupled nonlinear Schrodinger equation. With certain requirements on the backgrounds of components, we construct a multi-rogue-wave solution that exhibits a structure like a four-petaled flower in temporal-spatial distribution, in contrast to the eye-shaped structure in one-component or two-component systems. The results could be of interest in such diverse fields as Bose-Einstein condensates, nonlinear fibers, and superfluids.

8 pages, 4 figures

References in corpus (3)

• Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
• Generation of dark-bright soliton trains in superfluid-superfluid counterflow
• Localized nonlinear waves in a two-mode nonlinear fiber

Cited by in corpus (7)

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• Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation
• Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• Non-degenerate multi-rogue waves and easy ways of their excitation
• Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate