On some new travelling wave structures to the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli model

Abstract

In this article, the (1G′)-expansion method, the Bernoulli sub-ordinary differential equation method and the modified Kudryashov method are implemented to construct a variety of novel analytical solutions to the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli model representing the wave propagation through incompressible fluids. The linearization of the wave structure in shallow water necessitates more critical wave capacity conditions than it does in deep water, and the strong nonlinear properties are perceptible. Some novel travelling wave solutions have been observed including solitons, kink, periodic and rational solutions with the aid of the latest computing tools such as Mathematica or Maple. The physical and analytical properties of several families of closed-form solutions or exact solutions and rational form function solutions to the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli model problem are examined using Mathematica.