L2 orbital stability of Dirac solitons in the massive Thirring model |
| |
| Authors: | Andres Contreras Yusuke Shimabukuro |
| |
| Institution: | 1. Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM, United States;2. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada |
| |
| Abstract: | We prove L2 orbital stability of Dirac solitons in the massive Thirring model. Our method uses local well posedness of the massive Thirring model in L2, conservation of the charge functional, and the auto–Bäcklund transformation. The latter transformation exists because the massive Thirring model is integrable via the inverse scattering transform method. |
| |
| Keywords: | Auto–Bäcklund transformation conserved quantities Dirac solitons Lax operators massive Thirring model orbital stability |
|
|
