On the Numerical Solution of the Kadomtsev-Petviadhvilli Equation

摘要

A finite-difference method is used to transform the initial/boundary-value problem associated with the Kadomtsev-Petviashvilli equation into an algebraic system. For this purpose the space and the time partial derivatives are replaced with familiar finite-difference replacements. To avoid solving the resulting nonlinear system an appropriate linearized scheme is proposed.