Rational solutions for the(2+1)-dimensional potential Kadomtsev-Petviashvili equation
The rational solutions are obtained and proved for a class of potential Kadomtsev-Petviashvili(pKP)equations by the Hirota bilinear method.The lump solution,high-order-lump solution,and multi-lump solution are obtained and proved.The different collision modes of the two types of lump waves are shown by images and the dynamics of multiple lump wave collisions is analyzed.