Some special solutions to the Hyperbolic NLS equation
Autor: | Vuillon, Laurent, Dutykh, Denys, Fedele, Francesco |
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Rok vydání: | 2013 |
Předmět: | |
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 |
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