BIFURCATION FROM SEMITRIVIAL STANDING WAVES AND GROUND STATES FOR A SYSTEM OF NONLINEAR SCHRODINGER EQUATIONS

摘要

We consider a system of nonlinear Schrodinger equations related to the Raman amplification in a plasma. We study the orbital stability and instability of standing waves bifurcating from the semitrivial 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.