Various exact solutions of the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli-like equation by using bilinear neural network method

In this paper, Bilinear neural network method is used to investigate the (4+1)-dimensional Boiti-Leon-Manna- Pempinelli-like (BLMP-like) equation, which can be utilized to model wave phenomena in incompressible fluids and in the study of fluid mechanics. On the basis of the generalized bilinear operators, the generalized bilinear equation is formulated. In the bilinear neural network method, a variety of neural network structures, including the single hidden layer and multiple hidden layers neural network are employed to investigate the exact solutions. By considering the special values of the parameters involved, the dynamical behavior of the solution is analyzed graphically. The effective method adopted significantly contributes to the understanding of nonlinear evolution equations in various fields, including plasma physics, mathematical physics, electromagnetism, and fluid dynamics.