Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation

Miguel Á. Alejo, Claudio Muñoz, Jessica Trespalacios

We consider the Principal Chiral Field model posed in 1+1 dimensions into the Lie group $\text{SL}(2,\mathbb{R})$. In this work we show the nonlinear stability of small enough nonsi…