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- W2162922635 abstract "In this paper, we consider the coupled derivative Schrödinger equations. First, by studying a constrained minimization problem and applying the method of concentration-compactness principle, we obtain the existence of standing waves for the coupled nonlinear derivative Schrödinger equations. Second, we prove that the set of minimizers is a stable set for the initial value problem of the equations in the sense that a solution with initial value starting near the set will remain near it for all time. Finally, we study the structure of the set of minimizers for some special cases." @default.
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- W2162922635 date "2015-10-01" @default.
- W2162922635 modified "2023-10-14" @default.
- W2162922635 title "Existence and stability of standing waves for coupled derivative Schrödinger equations" @default.
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- W2162922635 doi "https://doi.org/10.1063/1.4934236" @default.
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