Abstract
In this paper, we investigate a generalized variable-coefficient cylindrical Kadomtsev–Petviashvili equation, which characterizes the water waves propagation in the fluid dynamics. Via the generalized Laurent series truncated at the constant-level term, an auto-Bäcklund transformation is derived. We establish the bilinear form through the utilization of the Bell polynomials. Based on the Hirota method, we construct the N-soliton solutions. We derive the bilinear Bäcklund transformation and Lax pair by virtue of the Hirota bilinear operators’ exchange formulae and symbolic computation.
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