Global well-posedness and orbital stability of solitary waves for Zakharov-Ito equation

Fan Wu, Feng Shao

In this paper, we consider the Zakharov-Ito equation \begin{equation*} \begin{cases} u_t+u_{xxx}+3uu_x+ρρ_x=0,\\ ρ_t+{(uρ)}_x=0. \end{cases} \end{equation*} We prove the local well…