Structures of interaction between lump, breather, rogue and periodic wave solutions for new (3 + 1)-dimensional negative order KdV-CBS model

Abstract

The characteristics of lump solutions are investigated using a new (3+1)-dimensional negative order KdV-Calogero-Bogoyavlenskii-Schiff model with a bilinear representation. Various ansatzes have been used to discover a lump, breather wave, Lump with periodic waves, Lump with rogue waves, and Periodic cross lump wave solutions for the model's function patterns. Under consideration of the parameter values, numerical simulations in the form of line plots, contour plots, and 3-D profiles have been carried out to provide more insight into the dynamics of the acquired solutions.