Rogue wave solutions for the [formula omitted]-dimensional generalized Camassa–Holm–Kadomtsev–Petviashvili equation

Abstract

In this paper, the 3+1-dimensional generalized Camassa–Holm–Kadomtsev–Petviashvili equation is investigated by Hirota bilinear method, from which the first, second and third order rogue wave solutions are derived. The relationships between the parameters and the amplitude, width and center of rogue wave are discussed. At the same time, several evolution and density plots are present to exhibit the dynamical structure of the rogue wave solutions. The results may be useful in nonlinear optics and other physically relevant integrable systems.