Operator splitting for the Benjamin-Ono equation

26 Apr 2016 · Dutta R., Holden H., Koley U., Risebro N. H. ·

In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang splitting.