High-order Rogue Wave solutions for the Coupled Nonlinear Schrödinger Equations-II

Abstract

We study on dynamics of high-order rogue wave in two-component coupled nonlinear Schrödinger equations. Based on the generalized Darboux transformation and formal series method, we obtain the high-order rogue wave solution without the special limitation on the wave vectors. As an application, we exhibit the first, second-order rogue wave solution and the superposition of them by computer plotting. We find the distribution patterns for vector rogue waves are much more abundant than the ones for scalar rogue waves, and also different from the ones obtained with the constrain conditions on background fields. The results further enrich and deep our realization on rogue wave excitation dynamics in such diverse fields as Bose-Einstein condensates, nonlinear fibers, and superfluids.

9 pages, 7 figures

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Cited by in corpus (8)

• Universal rogue wave patterns associated with the Yablonskii-Vorob'ev polynomial hierarchy
• General high-order rogue waves of the (1+1)-dimensional Yajima-Oikawa system
• Higher-order vector Peregrine solitons and asymptotic estimates for the multi-component nonlinear Schrödinger equations
• High-order rogue waves of a long wave-short wave model
• Non-degenerate multi-rogue waves and easy ways of their excitation
• The height of an $n$th-order fundamental rogue wave for the nonlinear Schrödinger equation
• Rogue Waves in (2+1)-Dimensional Three-Wave Resonant Interactions
• Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein Condensate