Abstract
Under investigation in this paper is a (2+1)-dimensional generalized variable coefficients Date–Jimbo–Kashiwara–Miwa equation, which describes the nonlinear dispersive wave in inhomogeneous media. Via the generalized Laurent series truncated at the constant-level term, an auto-Bäcklund transformation is derived. Bilinear forms, Bäcklund transformation, Lax pair and infinitely-many conservation laws are derived based on the binary Bell polynomials. Multi-soliton solutions are constructed via the Hirota method.
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