Interactions of rogue and solitary wave solutions to the (2+1)-D generalized Camassa-Holm-KP equation

Abstract This research explores a (2 + 1)-d generalized Camassa-Holm-Kadomtsev-Petviashvili (gCHKP) model. We use a probable transformation to build bilinear formulation to the model by Hirota bilinear technique. We derive a single lump waves, multi-solitons solutions to the model from this bilinear form. We present various dynamical properties of the model such as one-, two-, three-, four-solitons. The double periodic breather waves, periodic line rogue wave, interaction between bell soliton and double periodic rogue waves, rogue and bell soliton, rogue and two bell solitons, two rogues, rogue and periodic wave, double periodic waves, two pair of rogue waves as well as interaction of double periodic rogue waves are established in a line. Among the results, most of the properties are unexplored in the prior research. Furthermore, with the assistance of Maple Software, we put out the trajectory of the obtained solutions for visualized the achieved dynamical properties.MSC: 35Q51, 35Q53, 35C99, 37K10, 74J35