Lump, periodic solution in separable form, and periodic-soliton solutions for the (2+1)-D Calogero–Bogoyavlenskii–Schiff equation

Abstract

Abstract Under examination in this manuscript is a (2+1)-D generalized Calogero–Bogoyavlenskii–Schiff equation is considered through a criterion variable transition in which a dominating variable involved. Based on the Hirota bilinear method, we build novel structures entirely innovative lump solutions, periodic solutions in separable form, and periodic-soliton solutions and also perforated appearance of two-solitary wave are obtained. Furthermore, we demonstrate that the constraints that lump solutions meet are through to satisfy a number of significant features, such as navigation, polarity and nonlinear analysis. With the aid of Maple, the 3-D plot and contour plot, the physical properties of these vibrations are very effectively explained. The obtained results can improve the dynamics of higher-dimensional nonlinear water wave’s scenarios in fluids and plasma phenomena.