Different wave structures and stability analysis for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation

Abstract

The main concern of the present article is to study the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation describing the dispersion role in the formation of patterns in liquid drops. To this end, a series of different wave structures including lump wave solutions, one-soliton, double-soliton, and triple-soliton solutions are formally retrieved through the ansatz (positive quadratic and exponential functions) technique. Furthermore, the stability analysis for the governing model is explored in a systematic manner.