Concentrating solutions of nonlinear Schrödinger systems with mixed interactions
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916660673249280 |
|---|---|
| author | Guo, Qing Pistoia, Angela Wen, Shixin |
| author_facet | Guo, Qing Pistoia, Angela Wen, Shixin |
| contents | In this paper we study the existence of solutions to nonlinear Schrödinger systems with mixed couplings of attractive and repulsive forces, which arise from the models in Bose-Einstein condensates and nonlinear optics. In particular, we build solutions whose first component has one bump and the other components have several peaks forming a regular polygon around the single bump of the first component. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18410 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Concentrating solutions of nonlinear Schrödinger systems with mixed interactions Guo, Qing Pistoia, Angela Wen, Shixin Analysis of PDEs 35B25, 35J47, 35Q55 In this paper we study the existence of solutions to nonlinear Schrödinger systems with mixed couplings of attractive and repulsive forces, which arise from the models in Bose-Einstein condensates and nonlinear optics. In particular, we build solutions whose first component has one bump and the other components have several peaks forming a regular polygon around the single bump of the first component. |
| title | Concentrating solutions of nonlinear Schrödinger systems with mixed interactions |
| topic | Analysis of PDEs 35B25, 35J47, 35Q55 |
| url | https://arxiv.org/abs/2503.18410 |