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Soliton dynamics for CNLS systems with potentials

Soliton dynamics for CNLS systems with potentials

The semiclassical limit of a weakly coupled nonlinear focusing Schrödinger system in presence of a nonconstant potential is studied. The initial data is of the form (u1 , u2 ) with ui =ri ((x−x˜)/ε)e(i/ε)x·ξ˜ , where (r1 , r2 ) is a real ground state