Abstract:
The nonlocal symmetries for the special K(m; n) equation, which is called KdV-type K(3; 2) equation, are obtained by means of the truncated Painleve´ method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables and the corresponding finite symmetry transformations are computed directly. The KdV-type K(3; 2) equation is also proved to be consistent tanh expansion solvable. New exact interaction excitations such as soliton–cnoidal wave solutions are given out analytically and graphically.