Abstract
We consider ut=uαuxxx+n(u)uxuxx+m(u)u3x+r(u)uxx+p(u)u2x+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.
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