Abundant interaction solutions of the KP equation

Abstract

Based on the Hirota bilinear form of the KP equation, five classes of interaction solutions between lumps and line solitons are generated via Maple symbolic computations. Analyticity is automatically guaranteed for the first four classes of interaction solutions and the last fifth class of interaction solutions with the plus sign and can be easily achieved for the last fifth class of interaction solutions with the minus sign by taking special choices of the involved parameters. The presented interaction solutions reduce to the existing lumps while the hyperbolic function disappears.