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中文摘要：
该文证明： 和如下耦合色散系统相联系的初值问题的充分光滑的解（u,v）=（u（x,t）,v（x,t））, 如果在两个时刻有半线支集那么它们全为零. {δt u＋δ3x u＋δx（up vp＋1）=0, δt v＋δ3x v＋δx（up＋1vp）=0, x ∈R, t ≥ 0
英文摘要：
It is proved that, if a sufficiently smooth solution $（u,v）=（u（x,t）,v（x,t））$ to the initial value problem associated with the dispersive coupled system {δt u＋δ3x u＋δx（up vp＋1）=0, δt v＋δ3x v＋δx（up＋1vp）=0, x ∈R, t ≥ 0 is supported on a half line at two different instants of time then u ≡ 0, v ≡ 0.
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