Lump Structures in an Extended Bogoyavlensky-Konopelchenko-like System with Balanced Spatial Dispersions

This study investigates lump-wave structures in a (2+1)-dimensional extended Bogoyavlensky-Konopelchenko system with balanced spatial dispersions. The nonlinear model is derived via generalized bilinear derivatives linked to the prime number three. Positive quadratic solutions of the bilinear form are computed symbolically, yielding lump solutions. These localized waves travel along straight-line trajectories at constant velocity, with stationary zero-amplitude centers. Their formation results from the interplay between nonlinearity and dispersion.