Abstract
The (1+1)-dimensional bilinear Hietarinta equation was firstly proposed when searching for integrable nonlinear evolution equations by the three-soliton method. In this paper, we focus on the (2+1)-dimensional extension of Hietarinta equation, which enjoys potential application in environmental engineering. Based on the bilinear form, one-soliotn and two-soliton solutions are derived. Bilinear Bäcklund transformation and Bell-polynomial-typed Bäcklund transformation are derived through the Hirota bilinear method and Bell polynomials, respectively. The three-dimensional plots of soliton solutions have been given by selecting appropriate parameters.
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