Operator splitting for dispersion-generalized Benjamin-Ono equations

Abstract

We consider the operator splitting for a class of nonlinear equation, which includes the KdV equation, the Benjamin-Ono equation, and the Burgers equation. We prove a first-order approxomation in $\Delta t$ in the Sobolev space for the Godunov splitting, and second-order approximation for the Strang splitting.

References in corpus (2)

• The Whitham Equation as a Model for Surface Water Waves
• A numerical approach to Blow-up issues for dispersive perturbations of Burgers' equation