Lump waves and their dynamics of a spatial symmetric generalized KP model

Source abstract

This paper aims to study lump waves formed by nonlinearity and dispersion in a spatial symmetric generalized KP model in (2+1)-dimensions. To an associated Hirota bilinear form of the model equation, positive quadratic waves are computed to generate lump waves by symbolic computation with Maple. It is shown that critical points of the positive quadratic waves are located on a straight line in the spatial space, whose coordinates travel at constant speeds. Optimal values of the corresponding lump waves are explicitly worked out, not depending on time, either. The dispersion terms and the nonlinear terms jointly create the lump waves.