Soliton molecules, T-breather molecules and some interaction solutions in the (2+1)-dimensional generalized KDKK equation

By employing the complexification method and velocity resonant principle to N-solitons of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt (KDKK) equation, we obtain the soliton molecules, T-breather molecules, T-breather–L-soliton molecules and some interaction solutions when N ≤ 6. Dynamical behaviors of these solutions are discussed analytically and graphically. The method adopted can be effectively used to construct soliton molecules and T-breather molecules of other nonlinear evolution equations. The results obtained may be helpful for experts to study the related phenomenon in oceanography and atmospheric science.