Nonradial symmetric bound states for a system of coupled Schrödinger equations
By Jun-cheng Wei, Tobias Weth. 2007
134 citations recorded by the source corpus.
Subfields: Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3cb28d243d7d1ff5300643d5ee124289827e99e7
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In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system (2010, unknown): “All rights reserved.”
- Multipulse Phases in k-Mixtures of Bose–Einstein Condensates (2008, methodology): “We refer the reader to the recent papers [1, 10, 6, 9, 17] mainly dealing with systems of two equations.”
- Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations (2008, unknown): “To obtain solitary wave solutions of the system (1.1), we set Φ1(x, t) = eiλ1 t u(x), Φ2(x, t) = eiλ2 t v(x), and the system (1.1) is transformed to an elliptic system given by (1.2) −∆u+ λ1u− µ1u3 − βv2u = 0 in Ω, −∆v + λ2v − µ2v3 − βu2v = 0 in Ω, u, v > 0 in Ω, u = v = 0 on ∂Ω.”
- Minimal energy solutions for cooperative nonlinear Schrödinger systems (2015, methodology): “In the special case ω = 1 further existence results for positive solutions were proved by Bartsch, Dancer, Wang [2] using global bifurcation theory and by Wei and Weth [15] exploiting compactness properties of G-symmetric functions where G is a nontrivial subgroup of the orthogonal group O(n).”