Standing wave solution for the generalized Jackiw-Pi model
- Resource Type
- Article
- Authors
- Huh, Hyungjin; Jin, Yuanfeng; Ma, Youwei; Jin, Guanghui
- Source
- Advances in Nonlinear Analysis; December 2023, Vol. 12 Issue: 1 p369-382, 14p
- Subject
- Language
- ISSN
- 21919496; 2191950X
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.