Lump Structures and Their Dynamics in a Generalized Calogero–Bogoyavlenskii–Schiff-Like Wave Model

Abstract This work investigates dispersion-driven lump wave structures within a generalized (2+1)-dimensional Calogero–Bogoyavlenskii–Schiff-like framework. By employing a generalized bilinear form of the governing equation, we construct positive quadratic function solutions via symbolic computation, which in turn generate lump wave structures. The analysis shows that the stationary points of the quadratic function align along a straight trajectory in the spatial plane and propagate with constant velocity, where the lump amplitude vanishes. The emergence of these lump waves results from the interplay of eight nonlinear terms and four dispersion terms in the model.