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On the classification of standing wave solutions to a coupled Schrödinger system
Published online by Cambridge University Press: 17 January 2019
Abstract
In this paper, we consider a nonlinear elliptic system which is an extension of the single equation derived by investigating the stationary states of the nonlinear Schrödinger equation. We establish the existence and uniqueness of solutions to the Dirichlet problem on the ball and entire space as the parameters within certain regions. In addition, a complete structure of different types of solutions for the radial case is also provided.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 5 , October 2019 , pp. 1347 - 1370
- Copyright
- Copyright © Royal Society of Edinburgh 2019