Lump solutions to a (2+1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form.

Through the Hirota bilinear formulation, a (2+1)-dimensional combined fourth-order nonlinear equation is proposed, which possesses lump solutions. Two classes of lump solutions are presented explicitly in terms of the coefficients in the combined nonlinear equation. A set of examples of equations is provided to show the diversity of the considered combined nonlinear equation, together with three-dimensional plots, x -curves and y -curves of two specific lump solutions in two cases of the combined equation. [ABSTRACT FROM AUTHOR]