Gomes, J. F. [UNESP]Retore, A. L. [UNESP]Spano, N. I. [UNESP]Zimerman, A. H. [UNESP]2015-10-212015-10-212015-01-01Xxxth International Colloquium On Group Theoretical Methods In Physics (icgtmp) (group30). Bristol: Iop Publishing Ltd, v. 597, 10 p., 2015.1742-6588http://hdl.handle.net/11449/128923In this note we present explicitly the construction of the mKdV hierarchy and show that it decomposes into positive and negative graded sub-hierarchies. We extend the construction of the Backlund transformation for the sinh-Gordon model to all other positive and negative odd graded equations of motion generated by the same affine algebraic structure. Some simple examples of solutions are explicitly verified to satisfy, in a universal manner, the Backlund transformations for the first few odd (positive and negative) sub-hierarchies.1-10engTrabalho apresentado em evento10.1088/1742-6596/597/1/012039WOS:000354929400039Acesso abertoWOS000354929400039.pdf92877760781495518215976645016606