On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system
Analysis of PDEs
2018-02-20 v1
Abstract
We address various issues concerning the Cauchy problem for the Zakharov-Rubenchik system (known as the Benney-Roskes system in water waves theory), which models the interaction of short and long waves in many physical situations. Motivated by the transverse stability/instability of the one-dimensional solitary wave (line solitary), we study the Cauchy problem in the background of a line solitary wave.
Keywords
Cite
@article{arxiv.1802.06586,
title = {On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system},
author = {Hung Luong and Norbert Mauser and Jean-Claude Saut},
journal= {arXiv preprint arXiv:1802.06586},
year = {2018}
}
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24 pages