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arxiv: 0905.4072 · v1 · pith:YJCEJD7Knew · submitted 2009-05-25 · 🧮 math.AP

On the periodic Schr\"odinger-Boussinesq System

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keywords periodicodinger-boussinesqschrsystemboundaryconsideredexistenceglobal
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We study the local and global well-posedness of the periodic boundary value problem for the nonlinear Schr\"odinger-Boussinesq system. The existence of periodic pulses as well as the stability of such solutions are also considered.

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