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math.AP2021★ 1 cited
Medium amplitude model for internal waves over large topography variation
Ralph Lteif, Bashar Khorbatly
The purpose of this paper is to present the derivation and mathematical analysis of a new asymptotic model that describes the evolution of medium amplitude internal waves propagati…
math.AP2021
A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators
Ralph Lteif, Stéphane Gerbi
In this work, we numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography. A reformulation of the same order o…
math.AP2021
Mathematical modeling and numerical analysis for the higher order Boussinesq system
Bashar Bhorbatly, Ralph Lteif, Samer Israwi +1
This study deals with higher-ordered asymptotic equations for the water-waves problem. We considered the higher-order/extended Boussinesq equations over a flat bottom topography in…