Non-local residual symmetry and soliton-cnoidal periodic wave interaction solutions of the KdV6 equation

The residual symmetry of the KdV6 equation is obtained by Painlevé truncate expansion. Since non-local, five field quantities are introduced to localize it into local one. Besides, interaction solutions between solitons and cnoidal periodic waves constructed making use consistent tanh expansion method. As an illustration, a specific solution in form function Jacobian elliptic discussed both analytically graphically.