Submitting Campus
Daytona Beach
Department
Mathematics
Document Type
Conference Proceeding
Publication/Presentation Date
6-2011
Abstract/Description
A theoretical and computational study is undertaken for the modulational instabilities of a pair of nonlinearly interacting two-dimensional waves in deep water. It has been shown that the full dynamics of these interacting waves gives rise to localized large-amplitude wavepackets (wave focusing). The coupled cubic nonlinear Schrödinger (CNLS) equations are used to derive a nonlinear dispersion equation which give rise to new class of modulational instabilities and demonstrates the dependence of obliqueness of the interacting waves. The computations, due to nonlinear wave-wave interactions, waves that are separately modulationally stable can give rise to the formation of large-amplitude coherent wave packets with amplitudes several times that of the initial waves. In the case for the original Benjamin-Feir instability, in constrast, waves disintegrate into a wide spectrum.
Sponsorship/Conference/Institution
Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE
Location
Benidorm, Spain
Number of Pages
12
Scholarly Commons Citation
Khanal, H., Mancas, S., & Sajjadi, S. (2011). Interactions and Focusing of Nonlinear Water Waves. , (). Retrieved from https://commons.erau.edu/publication/780
Additional Information
This proceedings volume was edited by J. Vigo Aguiar and is volume two of the set of volumes. ISBN: 978-84-614-6167-7.