Instability of standing waves for a system of nonlinear Schr\"odinger equations in a degenerate case
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degenerateequationsinstabilitynonlinearodingerschrstandingsystem
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We study a system of nonlinear Schr\"odinger equations with cubic interactions in one space dimension. The orbital stability and instability of semitrivial standing wave solutions are studied for both non-degenerate and degenerate cases.
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