Multi-solitons and integrability for a (2+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation

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-Backlund transformation is derived. Bilinear forms, Backlund 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.