The multisoliton solutions for the mKPI equation with self-consistent sources

Abstract

The modified Kadomtsev–Petviashvili I equation with self-consistent sources (mKPIESCS) is derived through the linear problem of the modified Kadomtsev–Petviashvili I (mKPI) system. The bilinear form of the mKPIESCS is given and the N-soliton solutions are obtained through the Hirota method and the Wronskian technique, respectively. The coincidence of these solutions is shown by direct computation.