Structure-Preserving Numerical Methods for Two Nonlinear Systems of
Dispersive Wave Equations
Structure-Preserving Numerical Methods for Two Nonlinear Systems of
Dispersive Wave Equations
We use the general framework of summation by parts operators to construct conservative, entropy-stable and well-balanced semidiscretizations of two different nonlinear systems of dispersive shallow water equations with varying bathymetry: (i) a variant of the coupled Benjamin-Bona-Mahony (BBM) equations and (ii) a recently proposed model by Sv\"ard and Kalisch (2023) …