Nonlinear dynamics of (2 + 1)‐dimensional Bogoyavlenskii–Schieff equation arising in plasma physics

In this literature, the dynamic characteristics of the Bogoyavlenskii–Schieff equation in (2 + 1)‐dimension that arises in plasma physics are studied. Several characteristics of multi‐soliton solutions, complex rogue wave, M‐lump solutions, fusion solutions, and interaction phenomena between M‐lump and soliton solutions also with a fusion solution are discussed. A logarithmic variable transform is used to convert the studied nonlinear equation to a Hirota trilinear form. For all solutions, three‐dimensional figures are presented to more understand its dynamic behaviors. All findings are recent, and no experts have reported them.