Rich Localized Coherent Structures of the (2+1)-Dimensional BKK Equation

Abstract

Using a Bäcklund transformation and the variable separation approach, we find there exist rich localized structures for the (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) system. The abundance of the localized structures for the model is introduced by the entrance of an arbitrary function of the seed solution. For some special selections of the arbitrary function, it is shown that the localized structure of the BKK equation may be dromions, lumps, ring solitons and peakons etc.