Solve dispersive PDE

[cpraveen]

For example PDEs see

Cheng and Shu, A DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR TIME DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS WITH HIGHER ORDER DERIVATIVES
https://www.ams.org/mcom/2008-77-262/S0025-5718-07-02045-5/S0025-5718-07-02045-5.pdf
https://doi.org/10.1090/S0025-5718-07-02045-5

Fu and Shu, An energy-conservingu ltra-weak discontinuous Galerkin method for the generalized Korteweg–de Vries equation
https://doi.org/10.1016/j.cam.2018.09.021

Seth Gerberding, A High Order IMEX Method for Generalized Korteweg de-Vries Equations
https://arxiv.org/abs/2503.15397

Also see

https://github.com/cpraveen/spectral_uecker

for model problems.