Hyperbolic relaxation technique for solving the dispersive Serre Equations with topography.

The objective of this note is to propose a relaxation technique that accounts for the topography effects in the dispersive Serre equations (also known as Serre--Green--Naghdi or fully non-linear Boussinesq equations, etc.) introduced in [this https URL]. This is done by revisiting the relaxation technique introduced in [this https URL]. We also derive a family of analytical solutions for the one-dimensional dispersive Serre equations that are used to validate the proposed relaxed model. The method is then numerically illustrated by comparison with experimental results.