%0 Journal Article
%T Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schr£żdinger equations
%A Mathieu Colin
%A Masahito Ohta
%J Mathematics
%D 2011
%I arXiv
%X We consider a system of nonlinear Schr\"{o}dinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating from the semi-trivial standing wave of the system. The stability and instability of the semi-trivial standing wave at the bifurcation point are also studied. Moreover, we determine the set of the ground states completely.
%U http://arxiv.org/abs/1102.1545v1