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

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  • Verma, Pallavi
  • Kaur, Lakhveer

Abstract

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.

Suggested Citation

  • Verma, Pallavi & Kaur, Lakhveer, 2019. "Integrability, bilinearization and analytic study of new form of (3+1)-dimensional B-type Kadomstev–Petviashvili (BKP)- Boussinesq equation," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 879-886.
    • Handle: RePEc:eee:apmaco:v:346:y:2019:i:c:p:879-886
    DOI: 10.1016/j.amc.2018.11.050
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    References listed on IDEAS

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