• Bilinearization and new multisoliton solutions for the (4+1)-dimensional Fokas equation

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    • Keywords


      Bilinearization; multisoliton solution; Fokas equation; Hirota’s bilinear method.

    • Abstract


      The (4+1)-dimensional Fokas equation is derived in the process of extending the integrable Kadomtsev–Petviashvili and Davey–Stewartson equations to higher-dimensional nonlinear wave equations. This equation is under investigation in this paper. Hirota’s bilinear method is, for the first time, used to solve such a higher-dimensional equation. In order to bilinearize the Fokas equation, some appropriate transformations are adopted. As a result, single-soliton solution,double-soliton solution and three-soliton solution are obtained. A new uniform formula of n-soliton solution is derived from this. It is shown that the transformations adopted in this work play a key role in converting the Fokas equation into Hirota’s bilinear form.

    • Author Affiliations



      1. School of Mathematics and Physics, Bohai University, Jinzhou 121013, People’s Republic of China
    • Dates

  • Pramana – Journal of Physics | News

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