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.
