Abstract

The Hirota bilinear form of the (2+1)-dimensional dispersive long wave equation by the truncated painlevé series in this paper is obtained. Meanwhile, a pair of quartic-linear forms are also constructed by an appropriate selection of seed solution to explore the lump solutions of the (2+1)-dimensional dispersive long wave equation. Then some novel interaction solutions by combining quadratic functions and exponential functions are yielded. Finally, in order to better illustrate the features of the results, we draw the three-dimensional and two-dimensional figures.

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