Error analysis of a spectral projection of the regularized Benjamin-Ono equation
The regularized Benjamin-Ono equation appears in the modeling of long-crested interfacial waves in two-fluid systems. For this equation, Fourier-Galerkin and collocation semi-discretizations are proved to be spectrally convergent. A new exact solution is found and used for the experimental validation of the numerical algorithm. The scheme is then used to study the interaction of two solitary waves.
spectral methods collocation approximation internal wavws