Orbital Instability of Standing Waves for the Klein-Gordon-Zakharov System
Orbital Instability of Standing Waves for the Klein-Gordon-Zakharov System
Abstract This paper deals with the instability of the ground state solitary wave solution to the Klein-Gordon-Zakharov system in three space dimensions with c ≥ 1, which is a model to describe the Langmuir turbulence in plasma. First we construct a suitable constrained variational problem and obtain the existence of …