Mixedlumpsolitonsolutionfor(2+1)Dimensionalmod Ifying Kadomtsev-Petviashvilidynamicalequation

Abstract

In this study,Hirota bilinear method is applied to a class of lump solutions, rationally localized in all directions in the space, to the (2+1)-dimensional Kadomtsev–Petviashvili (KP) equation is presented, making use of its Hirota bilinear form. The resulting lump solutions contain six free parameters, two of which are due to the translation invariance of the KP equation and the other four of which satisfy a non-zero determinant condition guaranteeing analytic ity and rational localization of the solutions. four contour plots with different Parameter values are sequentially made to show that the corresponding lump solution tends to zero when the Parameter approaches zero. Four particu lar mixed lump solutions with specific values of the involved parameters are plotted.