The recursion operator method for generalized symmetries and Bcklund transformations of the Burgers equations
In this paper, the generalized symmetries of the second-order Burgers equation are obtained through the symmetry transformation method. The Bcklund transformations (BTs) of the two equations are constructed by the recursion operator method. Then, the infinite number of exact solutions to these equations are investigated in terms of the generalized symmetries and Bcklund transformations. Furthermore, the Bcklund transformations and conservation law of the general Burgers equations are discussed.
recursion operator method generalized symmetry bcklund transformation burgers equation exact solution conservation law 37l20 35a22 35c05