2 papers
math.AP2025
Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom
André de Laire, Olivier Goubet, MarÃa Eugenia MartÃnez +2
The Boussinesq system is a 4-parameter set of equations posed in , originally derived by Bona, Chen and Saut as first-order 2-wave approximatio…
math.AP2025
Global weak solutions for a variation of the Whitham equation
Diego Chamorro, MarÃa Eugenia MartÃnez
We study in this article a variation of the Whitham equation which was introduced as an alternative to the KdV equation. We first prove the global existence of weak solutions, then…