The rogue waves of the KP equation with self-consistent sources

摘要

General high-order rogue waves of the KP equation with self-consistent sources (KPESCSs) are derived via the Hirota bilinear method, which are given in terms of determinants whose matrix elements have plain algebraic expressions. By means of the regulation of free parameters, the presentation of fundamental rogue waves and the second-order rogue waves is demonstrated by the density and the three dimensional figures.