This paper analyses the (3+1)-dimensional Bogoyavlensky–Konopelchenko equation using the Painlevé Truncation approach. Solutions were constructed using lower dimensional arbitrary functions, resulting in physically interesting structures including periodic solutions, kinks, linear rogue waves, line lumps, dipole lumps, and hybrid dromions. The study highlights that line lumps undergo elastic collisions without energy exchange, differing from (2+1)-dimensional PDEs. Hybrid dromions also retain amplitude during interactions. Notably, two nonparallel ghost solitons were observed whose intersection produced hybrid dromions, a phenomenon unique to the (3+1)-dimensional case.