Steady-state solutions for Schrödinger equations in photonic lattice
| dc.contributor.author | Li, Wen-Long | |
| dc.date.accessioned | 2022-02-02T21:34:05Z | |
| dc.date.available | 2022-02-02T21:34:05Z | |
| dc.date.issued | 2018-05-08 | |
| dc.description.abstract | In this article, we study a nonlinear Schrödinger equation arising in optics. Firstly we prove the existence of multiple solutions of this equation. Secondly, we consider a nonlinear Schrödinger system which is intimately related to the Schrödinger equation. We obtain the existence of nontrivial solutions to this system and we also get some results on its positive solutions. Finally, assuming Dirichlet or Neumann boundary condition, we show the existence and uniqueness of positive solution to the Schrödinger equation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Li, W. L. (2018). Steady-state solutions for Schrödinger equations in photonic lattice. <i>Electronic Journal of Differential Equations, 2018</i>(109), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15276 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Schrödinger equation | |
| dc.subject | Multiple solutions | |
| dc.subject | Positive solutions | |
| dc.subject | Nontrivial solutions | |
| dc.title | Steady-state solutions for Schrödinger equations in photonic lattice | |
| dc.type | Article |