9 citations · 13 across the 5 of their papers we have counts for
6 papers
Solitary waves for a higher order Boussinesq system: Stability and numerical experiments
Roberto de A. Capistrano-Filho, Juan Carlos Muñoz, José R. Quintero
In this work, we study the nonlinear orbital stability of solitary-wave solutions for a class of higher-order Boussinesq systems with Hamiltonian structure. Using variational metho…
Traveling-wave solutions for a higher-order Boussinesq system: existence and numerical analysis
Roberto de A. Capistrano-Filho, Juan Carlos Muñoz, José R. Quintero
We study the existence and numerical computation of traveling wave solutions for a family of nonlinear higher-order Boussinesq evolution systems with a Hamiltonian structure. This…
Stability of solitary waves for generalized -Boussinesq system: The Hamiltonian case
Roberto de A. Capistrano Filho, Jose Raul Quintero, Shu-Ming Sun
The -Boussinesq system is a model of two equations that can describe the propagation of small-amplitude long waves in both directions in the water of finite depth. Considerin…
Center manifold application: existence of periodic travelling waves for the 2D -Boussinesq system
Jose Quintero, Alex Montes
In this paper we study the existence of periodic travelling waves for the 2D Boussinesq type system related with the three-dimensional water-wave dynamics in the weakly nonl…
Asymptotic stability of solitary waves in the Benney-Luke model of water waves
Tetsu Mizumachi, Robert L. Pego, José Raúl Quintero
We study asymptotic stability of solitary wave solutions in the one-dimensional Benney-Luke equation, a formally valid approximation for describing two-way water wave propagation.…
A host of traveling waves in a model of three-dimensional water-wave dynamics
Robert L. Pego, Jose Raul Quintero
We describe traveling waves in a basic model for three-dimensional water-wave dynamics in the weakly nonlinear long-wave regime. Small solutions that are periodic in the direction…