87 citations · 111 across the 3 of their papers we have counts for
3 papers
math.AP2024
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 . In this work we show the nonlinear stability of small enough nonsi…
math.AP2012★ 87 cited
Nonlinear stability of mKdV breathers
Miguel Angel Alejo, Claudio Muñoz
Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a natural H^2 topology. Our proof introduces a new Lyapunov functional, at the H^2…
math.AP2012★ 24 cited
On the nonlinear stability of mKdV breathers
Miguel Angel Alejo, Claudio Muñoz
A mathematical proof for the stability of mKdV breathers is announced. This proof involves the existence of a nonlinear equation satisfied by all breather profiles, and a new Lyapu…