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