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

2015/05/18 by Li-Chen Zhao, Boling Guo, Liming Ling · 1 citation
Physics and Astronomy · #nlin.PS #nlin.SI #physics.atom-ph

paper · pdf · doi:10.1063/1.4947113

published as Journal of Mathematical Physics 57, 043508 (2016) · 9 pages, 7 figures

arxiv created 2015/05/18 · arxiv updated 2016/05/31

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.

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• Coexistence of two distinct rogue wave patterns in the coupled nonlinear Schrödinger equation

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