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arXiv · 2408.09969

Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation

Miguel Á. Alejo·Claudio Muñoz·Jessica Trespalacios
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Abstract

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 nonsingular solitons. The method of proof involves the use of vector field methods as in a previous work by the second and third authors dealing with the Einstein's field equations under the Belinski-Zakharov formalism, extending for all times the size of suitable null weighted norms of the perturbations at time zero.

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Miguel Á. Alejo, Claudio Muñoz, Jessica Trespalacios. 2024-08-19. Nonlinear Stability of nonsingular solitons of the Principal Chiral Field equation. https://arxiv.org/abs/2408.09969

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