Support other models

[JoshuaLampert]

It would be nice to support other dispersive wave equations. These include especially the equations in H. Ranocha, D. Mitsotakis, D. Ketcheson, A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations (2021) and the corresponding discretizations using SBP operators developed there. These include the following scalar equations with constant bottom:

• [x] BBM (#150)
• [ ] Fornberg-Whitham
• [ ] Camassa-Holm
• [ ] Degasperis-Procesi
• [ ] Holm-Hone

There are also the

• [ ] Serre-Green-Naghdi equations in different formulations (H. Ranocha, M. Ricchiuto, Structure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form (2024)), see #129

Of course the classical

• [ ] Korteweg-de Vries (KdV) equation

would be of interest, too.

Implementing these semidiscretizations should be pretty straightforward within DispersiveShallowWater.jl. Another interesting model to look at (requiring to develop energy preserving semidiscretizations using SBP operators first) would be the

• [ ] equations by Escalante and Morales de Luna (Escalante and Morales de Luna, A General Non-hydrostatic Hyperbolic Formulation for Boussinesq Dispersive Shallow Flows and Its Numerical Approximation (2020))