Abstract: | We consider ut = u α uxxx + n ( u ) uxuxx + m ( u ) u 3 x + r ( u ) uxx + p ( u ) u 2 x + q ( u ) ux + s ( u ) with α= 0 and α= 3 , for those functional forms of m , n , p , q , r , s for which the equation is integrable in the sense of an infinite number of Lie-Bäcklund symmetries. Recursion operators which are x - and t -independent that generate these infinite sets of (local) symmetries are obtained for the equations. A combination of potential forms, hodograph transformations, and x -generalized hodograph transformations are applied to the obtained equations. |