Evaluating the Robustness of Rogue Waves Under Perturbations

Autor:	Ward, C. B., Kevrekidis, P. G., Whitaker, N.
Rok vydání:	2017
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
Popis:	Rogue waves, and their periodic counterparts, have been shown to exist in a number of integrable models. However, relatively little is known about the existence of these objects in models where an exact formula is unattainable. In this work, we develop a novel numerical perspective towards identifying such states as localized solutions in space-time. Importantly, we illustrate that this methodology in addition to benchmarking known solutions (and confirming their numerical propagation under controllable error) enables the continuation of such solutions over parametric variations to non-integrable models. As a result, we can answer in the positive the question about the parametric robustness of Peregrine-like waveforms and even of generalizations thereof on a cnoidal wave background. Comment: 6 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1712.03292 Zobrazit plný text záznamu View this record from Arxiv