Painleve analysis, Backlund transformation, Lax pair and periodic wave solutions for a generalized (2+1)-dimensional Hirota-Satsuma-Ito equation in fluid mechanics

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