3 citations · 4 across the 2 of their papers we have counts for
3 papers
math.AP2026
Small-speed solitary-wave stability and global well-posedness for a Bessel-regularized Airy equation
Germán Preciado López
We prove orbital stability of minimizing solitary waves at sufficiently small positive speeds for an Airy equation with a quadratic interaction filtered by a Bessel potential of or…
math.AP2015★ 3 cited
On the existence and analycity of solitary waves solutions to a two-dimesional Benjamin-Ono equation
Germán Preciado López, Félix H. Soriano Méndez
We show the existence, regularity and analyticity of solitary waves associated to the following equation \begin{eqnarray*} (u_t+u^{p}u_x+ \mathcal H\partial_x^2u+ λ\mathcal H\parti…
math.AP2015★ 1 cited
On the Cauchy problem of a two-dimesional Benjamin-Ono equation
Germán Preciado López, Félix H. Soriano Méndez
In this work we shall show that the Cauchy problem \begin{equation} \left\{ \begin{aligned} &(u_t+u^pu_x+\mathcal H\partial_x^2u+ α\mathcal H\partial_y^2u )_x - γu_{yy}=0 \quad p\i…