Felipe Poblete

collaborators

5 papers

math.AP2025

Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom

AndrÃ© de Laire, Olivier Goubet, MarÃa Eugenia MartÃnez +2

The Boussinesq $ab c d$ system is a 4-parameter set of equations posed in $R_{t} \times R_{x}$ , originally derived by Bona, Chen and Saut as first-order 2-wave approximatio…

math.AP2025

A note on two Collatz evolution flows

Francisco AlegrÃa, MatÃas Morales, Claudio MuÃ±oz +1

Two evolution models based on the generalized Collatz operator are introduced. These models are characterized by coefficients $I^\pm$ and $I^^{2}$ in the Collatz dynamics, and are suitabl…

math.AP2025

Decay of small energy solutions in the ABCD Boussinesq model under the influence of an uneven bottom

Christopher MaulÃ©n, Claudio MuÃ±oz, Felipe Poblete

The $ab c d$ Boussinesq system, introduced by Bona, Chen, and Saut, describes a four-parameter $(a, b, c, d)$ family of models formulated on the time-space domain $\mathbb{R}_t \times \…

math.AP2025

On uniqueness of KP soliton structures

Francisco AlegrÃa, Gong Chen, Claudio MuÃ±oz +2

We consider the Kadomtsev-Petviashvili II (KP) model placed in $R_{t} \times R_{x, y}^{2}$ , in the case of smooth data that are not necessarily in a Sobolev space. In th…

math.AP2024

Uniqueness of quasimonochromatic breathers for the generalized Korteweg-de Vries and Zakharov-Kuznetsov models

Jorge Faya, Pablo Figueroa, Claudio MuÃ±oz +1

Consider the generalized Korteweg-de Vries (gKdV) equations with power nonlinearities $q = 2, 3, 4 \dots$ in dimension $N = 1$ , and the Zakharov-Kuznetsov (ZK) model with integer power n…