Novel investigations of dual-wave solutions to the Kadomtsev–Petviashvili model involving second-order temporal and spatial–temporal dispersion terms

Abstract

Our work presents a novel insight into a higher dimensional Kadomtsev–Petviashvili (KP) model, wherein we observe that the propagation of the proposed model is characterized by the movement of symmetric dual waves. These waves are the result of the superposition of two waves with equal amplitude and opposite phase, which arises due to the involvement of a second-order temporal dispersion term in the model. Our study involves several schemes, leading to the discovery of various physical structures associated with the KP model. In summary, our research emphasizes that the simultaneous propagation of symmetric waves has significant practical applications in numerous fields where precise measurement, control, or analysis of waves is crucial.