3 papers
math.AP2025
On the minimal Blow-up rate for the 2D generalized Zakharov- Kuznetsov model
Jessica Trespalacios
In this note we consider the generalized Zakharov-Kuznetsov equation in , for initial conditions in the Sobolev space with Assuming that there is a blow…
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-ph2017
Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations
E. Pereira, E. Suazo, J. Trespalacios
We present several families of nonlinear reaction diffusion equations with variable coefficients including Fisher-KPP and Burgers type equations. Special exact solutions such as tr…