Analysis on Lump, Lumpoff and Rogue Waves with Predictability to a Generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt Equation*

Abstract

Abstract In this paper, we investigate a (2+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation. The lump waves, lumpoff waves, and rogue waves are presented based on the Hirota bilinear form of this equation. It is worth noting that the moving path as well as the appearance time and place of the lump waves are given. Moreover, the special rogue waves are considered when lump solution is swallowed by double solitons. Finally, the corresponding characteristics of the dynamical behavior are displayed.