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New Exact Solutions for the (3+1)-Dimensional Generalized BKP Equation

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  • Jun Su
  • Genjiu Xu

Abstract

The Wronskian technique is used to investigate a (3+1)-dimensional generalized BKP equation. Based on Hirota’s bilinear form, new exact solutions including rational solutions, soliton solutions, positon solutions, negaton solutions, and their interaction solutions are formally derived. Moreover we analyze the strangely mechanical behavior of the Wronskian determinant solutions. The study of these solutions will enrich the variety of the dynamics of the nonlinear evolution equations.

Suggested Citation

  • Jun Su & Genjiu Xu, 2016. "New Exact Solutions for the (3+1)-Dimensional Generalized BKP Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2016, pages 1-9, July.
    • Handle: RePEc:hin:jnddns:5420156
    DOI: 10.1155/2016/5420156
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    Cited by:

    1. 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.

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