On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system

2018/02/19 by Luong, Hung, Mauser, Norbert, Saut, Jean-Claude · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1802.06586

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.

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• Revisiting the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system

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