Abstract
By means of extended homogeneous balance method and variable separation approach, quite a general excitation of the (2 + 1)-dimensional Broer–Kaup (BK) equations is derived. Some types of the usual localized excitations such as dromions, lumps, rings, and oscillating soliton excitations can be easily constructed by selecting the arbitrary functions appropriately. Besides these usual localized structures, some new localized excitations like fractal-dromion, fractal-lump, and multi-peakon excitations of this BK system are found by selecting appropriate functions.
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