Numerical solution of the generalized Kadomtsev-Petviashvili equations with compact finite difference schemes

J. -P Chehab, P Garnier, Youcef Mammeri

We propose compact finite difference schemes to solve the KP equations $u\_t+u\_xxx+u^{p}u\_x+$λ${\partial }^{--1}\_xu\_yy=0$. When $p=1$, this equation describes the p…