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On the classification of standing wave solutions to a coupled Schrödinger system
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 149:1347-1370
- Publication Year :
- 2019
- Publisher :
- Cambridge University Press (CUP), 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.
- Subjects :
- Dirichlet problem
General Mathematics
010102 general mathematics
Mathematical analysis
01 natural sciences
010101 applied mathematics
Standing wave
symbols.namesake
Nonlinear system
symbols
Uniqueness
Ball (mathematics)
0101 mathematics
Nonlinear Schrödinger equation
Stationary state
Schrödinger's cat
Mathematics
Subjects
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 149
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........25c92c13d7eb268c7e7d51a561c01ff5