  Lump solutions are spatially rationally localized solutions which usually
arise as solutions to higher dimensional nonlinear partial differential
equations often possessing Hirota bilinear forms. Under some parameter
constraint, these solutions may lead to rogue wave solutions. In this article,
we study lump and rogue wave solutions of a new nonlinear non-evolutionary
equation in 2+1 dimensions with the aid of a computer algebra system. We
present illustrative examples and analyze the dynamical behavior of the
solutions using graphical representations
