Vector solutions for two coupled Schrödinger equations on Riemannian manifolds

Vector solutions for two coupled Schrödinger equations on Riemannian manifolds
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黎曼流形上两个耦合薛定谔方程的向量解

DOI:
10.1063/1.5100021
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发表时间:
2019-05
影响因子:
1.3
通讯作者:
Wenming Zou
Wenming Zou
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Yan-Hong Chen;Wenming Zou

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我们对光滑紧致无边界黎曼流形上的两个耦合非线性薛定谔方程感兴趣,这是由玻色-爱因斯坦凝聚和非线性光学理论引起的。得到了最小能量解的存在性、正解的多重性以及同步矢量解的存在性。我们对光滑紧致无边界黎曼流形上的两个耦合非线性薛定谔方程感兴趣,这是由玻色-爱因斯坦凝聚和非线性光学理论引起的。得到了最小能量解的存在性、正解的多重性以及同步矢量解的存在性。
We are interested in two coupled nonlinear Schrodinger equations on a smooth compact boundaryless Riemannian manifold, which arises from Bose-Einstein condensates and nonlinear optics theory. The existence of least energy solutions, multiplicity of positive solutions, as well as synchronized vector solutions is obtained.We are interested in two coupled nonlinear Schrodinger equations on a smooth compact boundaryless Riemannian manifold, which arises from Bose-Einstein condensates and nonlinear optics theory. The existence of least energy solutions, multiplicity of positive solutions, as well as synchronized vector solutions is obtained.
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