作者：Xing; Dong; TANG; Ji; Hui; ZHANG爆破现象耦合系统对焦流形方法有限时间集中式非线性
摘要：We study blow-up,global existence and ground state solutions for the N-coupled focusing nonlinear Schr¨odinger equations.Firstly,using the Nehari manifold approach and some variational techniques,the existence of ground state solutions to the equations(CNLS) is established.Secondly,under certain conditions,finite time blow-up phenomena of the solutions is derived.Finally,by introducing a refined version of compactness lemma,the L2concentration for the blow-up solutions is obtained.
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