On the existence and stability of standing waves for 2-coupled nonlinear fractional Schrödinger system (Q1723333)
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scientific article; zbMATH DE number 7025357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence and stability of standing waves for 2-coupled nonlinear fractional Schrödinger system |
scientific article; zbMATH DE number 7025357 |
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On the existence and stability of standing waves for 2-coupled nonlinear fractional Schrödinger system (English)
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19 February 2019
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Summary: We study a system of 2-coupled nonlinear fractional Schrödinger equations. Firstly, we construct constrained minimization problem to the system. Next, we prove the existence of standing waves for the system by using the concentration-compactness and commutator estimates method. Lastly, we also consider the set of minimizers of the constrained minimization problem. We prove that it is a stable set for initial value of the problem; that is, a solution to the system with initial value which is near the set will remain near it for all time.
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