Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schrodinger equations
Résumé
We consider a system of nonlinear Schr¨odinger 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 semitrivial
standing wave at the bifurcation point are also studied. Moreover,
we determine the set of the ground states completely.