Some special solutions to the Hyperbolic NLS equation

Autor:	Vuillon, Laurent, Dutykh, Denys, Fedele, Francesco
Rok vydání:	2013
Předmět:	Physics - Classical Physics Mathematics - Analysis of PDEs Nonlinear Sciences - Pattern Formation and Solitons
Zdroj:	Communications in Nonlinear Science and Numerical Simulation (2018), Vol. 57, pp. 202-220
Druh dokumentu:	Working Paper
DOI:	10.1016/j.cnsns.2017.09.018
Popis:	The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili method is exploited to numerically compute bi-periodic time-harmonic solutions of the HypNLS equation. In physical space they represent non-localized standing waves. Non-trivial spatial patterns are revealed and an attempt is made to describe them using symbolic dynamics and the language of substitutions. Finally, the dynamics of a slightly perturbed standing wave is numerically investigated by means a highly acccurate Fourier solver. Comment: 33 pages, 10 figures, 70 references. Other author's papers can be found at http://www.denys-dutykh.com/
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1307.5507 Zobrazit plný text záznamu View this record from Arxiv