Molecules and New Interactional Structures for a (2+1)-Dimensional Generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt Equation

Soliton molecules (SMs) of the (2+1)—dimensional generalized Konopelchenko—Dubrovsky—Kaup—Kupershmidt (gKDKK) equation are found by utilizing a velocity resonance ansatz to N —soliton solutions, which can transform to asymmetric solitons upon assigning appropriate values to some parameters. Furthermore, a double-peaked lump solution can be constructed with breather degeneration approach. By applying a mixed technique of a resonance ansatz and conjugate complexes of partial parameters to multisoliton solutions, various kinds of interactional structures are constructed; There include the soliton molecule (SM), the breather molecule (BM) and the soliton-breather molecule (SBM). Graphical investigation and theoretical analysis show that the interactions composed of SM, BM and SBM are inelastic.