Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
Abstract
We present determinant expressions for vector rogue wave solutions of the Manakov system, a two-component coupled nonlinear Schr\"odinger equation. As special case, we generate a family of exact and non-symmetric rogue wave solutions of the nonlinear Schr\"odinger 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 nonlinear Schr\"odinger equation, known to model accurately the dynamics of weakly nonlinear wave packets in deep-water.
Keywords
Cite
@article{arxiv.1407.7266,
title = {Theoretical and experimental evidence of non-symmetric doubly localized rogue waves},
author = {Jingsong He and Lijuan Guo and Yongshuai Zhang and Amin Chabchoub},
journal= {arXiv preprint arXiv:1407.7266},
year = {2015}
}
Comments
15 pages, 7 figures, accepted by Proceedings of the Royal Society A