141 research outputs found
Bifurcation from semi-trivial standing waves and ground states for a system of nonlinear Schr\"{o}dinger equations
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.Comment: 25 pages, 2 figure
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