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- W2068585544 abstract "This paper is concerned with the standing wave for a class of nonlinear Schrödinger equations i φ t + Δ φ − | x | 2 φ + μ | φ | p − 1 φ + γ | φ | q − 1 φ = 0 , which describes the attractive Bose–Einstein condensates under a magnetic trap. We establish the existence of the standing wave of the equation. Furthermore, we prove that the standing wave is nonlinearly unstable." @default.
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- W2068585544 date "2008-01-01" @default.
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- W2068585544 title "On the standing wave for a class of nonlinear Schrödinger equations" @default.
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- W2068585544 doi "https://doi.org/10.1016/j.jmaa.2007.04.043" @default.
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