Standing wave solution for the generalized Jackiw-Pi model
We study the existence and nonexistence of the standing wave solution for the generalized Jackiw-Pi model by using variational method. Depending on interaction strength λ\lambda , we have three different situations. The existence and nonexistence of the standing wave solution correspond to 1<λ1\l...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-09-01
|
| Series: | Advances in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/anona-2022-0261 |
| Summary: | We study the existence and nonexistence of the standing wave solution for the generalized Jackiw-Pi model by using variational method. Depending on interaction strength λ\lambda , we have three different situations. The existence and nonexistence of the standing wave solution correspond to 1<λ1\lt \lambda and 0<λ<10\lt \lambda \lt 1, respectively. We have the explicit solution of self-dual equation for the borderline λ=1\lambda =1. |
|---|---|
| ISSN: | 2191-950X |