2014/07/27 by Jingsong He, Lijuan Guo, Yongshuai Zhang +1 · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Classical mechanics #Deep water #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Ocean Waves and Remote Sensing #Physics #Quantum mechanics #Rogue wave #Space (punctuation) #Wave packet #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1098/rspa.2014.0318
15 pages, 7 figures, accepted by Proceedings of the Royal Society A
arxiv created 2014/07/27 · openalex publication_date 2014/09/10 · arxiv updated 2015/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present determinant expressions for vector rogue wave (RW) solutions of the Manakov system, a two-component coupled nonlinear Schrödinger (NLS) equation. As a special case, we generate a family of exact and non-symmetric RW solutions of the NLS equation up to third order, localized in both space and time. The derived non-symmetric doubly localized second-order solution is generated experimentally in a water wave flume for deep-water conditions. Experimental results, confirming the characteristic non-symmetric pattern of the solution, are in very good agreement with theory as well as with numerical simulations, based on the modified NLS equation, known to model accurately the dynamics of weakly nonlinear wave packets in deep water.