Determining lump solutions for a combined soliton equation in (2+1)-dimensions

We consider a combined soliton equation involving three fourth-order nonlinear terms in (2+1)-dimensional dispersive waves and determine its lump solutions via symbolic computations. The combined equation is transformed into a Hirota bilinear equation under a logarithmic transformation and its lump solutions are computed explicitly in two cases of the coefficients in the model. Illustrative examples are presented, together with three-dimensional plots and contour plots of two specific lump solutions.