A new transformation v=4(lnf)xx that can formulate a quintic linear equation and pair of Hirota’s bilinear equations for the (2 + 1)-dimensional Sawada–Kotera (2DSK) Eq. (1) or u=4(lnf)x 2DSK (2) is reported firstly, which enables one to obtain set multiple soliton solutions equation. They are not special cases known solitons. The results presented in this paper show only possesses two sets sol...