Integrable Discretization Of Three Soliton Equations

Hirota bilinear method and Backlund transformation are used to study the integrable discretizations of three soliton equations, including a (2+1)-dimensional Boussinesq equa-tion, a (3+1)-dimensional Kadomtsev-Petviashvili equation and a five order Korteweg-de Vries equation. As a result, the corresponding semi-discrete integrable systems and Lax pairs are obtained.