  In this paper, we investigate a generalized (2+1)-dimensional
Hirota-Satsuma-Ito (HSI) equation in fluid mechanics. Via the Painleve
analysis, we find that the HSI equation is Painleve integrable under certain
condition. Bilinear form, Bell-polynomial-type Backlund transformation and Lax
pair are constructed with the binary Bell polynomials. One periodic-wave
solutions are derived via the Hirota-Riemann method and displayed graphically.
