Sinc collocation method for solving the Benjamin-Ono equation

Abstract

We propose a simple, though powerful, technique for numerical solutions of the Benjamin-Ono equation. This approach is based on a global collocation method using Sinc basis functions. Some properties of the Sinc collocation method required for our subsequent development are given and utilized to reduce the computation of the Benjamin-Ono equation to a system of ordinary differential equations.The propagation of one soliton and the interaction of two solitons are used to validate our numericalmethod.Themethod is easy to implement and yields accurate results.