3 papers
math.AP2026
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…
math.AP2025
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…
math.AP2025
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…