Four auto-Backlund transformations of two (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani systems for shallow water waves

Abstract Contribution in Commun. Theor. Phys. has come out in the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani direction, and currently we endeavor to enhance the completeness along such a direction. Applicable to the shallow water waves, in this paper, we study a couple of the (2+1)-dimensional Korteweg-de Vries-Sawada-Kotera-Ramani systems. We work out four auto-Backlund transformations via a noncharacteristic movable singular manifold, along with eight families of the solitonic and analytic solutions. All the results in this paper count on the coefficients in the original systems. Different selections of those coefficients could be useful to learn about the shallow-water-wave dynamics of our auto-Backlund transformations, solitons and analytic solutions for the original systems.