Integrability, bilinearization and analytic study of new form of (3+1)-dimensional B-type Kadomstev–Petviashvili (BKP)- Boussinesq equation

摘要

Nonlinear and dispersive media deals with propagation of waves which are characterized by several nonlinear partial differential equations. A new form of (3+1) - dimensional B-type Kadomstev–Petviashvili - Boussinesq equation being one of them, has been investigated via bringing light on singularities with help of analysis of Painlevé property and it turns out that the equation clears the Painlevé test which affirms its explicit integration. Truncated Painlevé expansion and Bell polynomial approach is applied to establish bilinear equation. Furthermore by using the novel test function, various exact solutions consisting numerous arbitrary constants are revealed in an orderly way. Graphical representation and distinct properties are discussed corresponding to the decorum of each acquired solution. Various patterns, including kink-like along with periodic exhibiting solitons, are explored.