Novel exact solutions to the (3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation by using BNNM

In this paper, the (3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq (BKP-Boussinesq) equation was fully studied with the help of bilinear neural network method (BNNM) and symbolic computation, which can describe the interaction process of exponential local structures and the propagation of long waves in shallow water. Three kinds of the neural network models were constructed to obtain the novel exact solutions, which contain periodic interactive solutions, bright-dark soliton waves, breather solutions and rogue wave solutions. Via the three-dimensional graphics, contour plots, density plots and curves pots, the physical characteristics of these different solutions were vividly described. The obtained results can be used for studying the diffusion phenomena of other nonlinear localized waves. (author)