Nonautonomous lump-periodic and analytical solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation

Abstract

This work establishes the lump periodic and exact traveling wave solutions for the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili equation. We use the Hirota bilinear method, as well as the robust integration techniques tanh–coth expansion and rational sine–cosine, to provide such innovative solutions. In order to explain specific physical difficulties, innovative lump periodic and analytical solutions have been investigated. These discoveries have been proven to be useful in the transmission of long-wave and high-power communications networks. It is important to highlight that the results given in this work depict new features and reflect previously unknown physical dynamics for the governing model.