Standing wave solution for the generalized Jackiw-Pi model

Abstract

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.

Keywords

• generalized jackiw-pi model
• standing waves
• variational method
• 35q40
• 35j20