Abstract
In this paper, based on the Hirota bilinear method, a kind of lump solutions and two classes of interaction solutions are discussed to the $$(2+1)$$ -dimensional generalized KdV equation with the aid of symbolic computation system Mathematica. Analyticity is naturally guaranteed by taking special choices of the involved parameters to achieve a positive constant term. Particularly, these solutions with special values of the included parameters are plotted, as illustrative example.
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