Bound states for a coupled Schrödinger system
By Thomas Bartsch, Zhi-Qiang Wang, Jun-cheng Wei. 2007
263 citations recorded by the source corpus.
Subfields: Control and Systems Engineering, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/88b0c2c12167c2f41b79186def8755c30eb1cafa
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In Control and Systems Engineering
- Boyan Sirakov
- Zhi-Qiang Wang
- Zhaoli Liu
- Wenming Zou
- Jun-cheng Wei
- Thomas Bartsch
- Houwang Li
- Shuangjie Peng
In Mathematical Physics
- Zhi-Qiang Wang
- Thomas Bartsch
- Wenming Zou
- Tobias Weth
- Zhaoli Liu
- Shuangjie Peng
- Jun-cheng Wei
- Boyan Sirakov
Citations in the corpus
- Least Energy Solitary Waves for a System of Nonlinear Schrödinger Equations in $${\mathbb{R}^n}$$ (2007, methodology): “Note. After this work was submitted, the author learned that existence of solutions for Schrodinger systems was studied, by different methods, in several recent (independent) works - [2, 3 , 18].”
- Uniqueness of positive solutions to some coupled nonlinear Schrödinger equations (2011, unknown): “(See [3] and [4].”
- Radial Solutions and Phase Separation in a System of Two Coupled Schrödinger Equations (2008, background): “If µj > 0 as considered here, we are dealing with an attractive self-interaction of the single states |j〉, j = 1, 2.”
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system (2010, unknown): “All rights reserved.”
- Segregated and Synchronized Vector Solutions for Nonlinear Schrödinger Systems (2013, background): “On the other hand, for the attractive case (that is, β > 0) when P = Q = 1, it is known (for example, [5,6]) that there are special positive solutions with the two components being positive constant multiples of the unique positive solution of the scalar cubic Schrödinger equation − w + w = w3.”
- Ground States and Bound States of a Nonlinear Schrödinger System (2010, methodology): “In the case of the 2-system (there is only one coupling constant β := β12 = β21), in [2, 3, 5, 6, 20, 26] more precise estimates on the size of a β0 have been given to assure for β > β0 the existence of a nontrivial ground state solution.”
- Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems (2022, background): “We refer the reader to [1, 4, 6, 12, 13, 16, 17, 32, 38] and the references therein.”