Abstract
Under investigation in this paper is the (2+1)-dimensional dispersive long wave system, which describes the hydrodynamics of wide channels or open seas of finite depth. Its bilinear form is derived with the generalized Bell polynomials. New analytic solutions are obtained via symbolic computation, based on which the propagation of the water waves is analyzed graphically and the different phenomena of fission and fusion are revealed. Additionally, the bilinear auto-Bäcklund transformation is obtained by the generalized Bell polynomials.
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