From the dynamical equation of barothopic relaxing media beneath pressure perturbations, followed with the reductive perturbative analysis, we derive and investigate the soliton structure of a (2+1)-dimensional nonlinear evolution equation describing high-frequency regime of perturbations. Thus, by means of the Hirotas bilineariza tion method, we unearth three typical pattes of loop-, cusp- and hump-like shapes depending strongly upon a dissipation parameter.