Gomes, J. F. [UNESP]Franca, G. Starvaggi [UNESP]de Melo, G. R. [UNESP]Zimerman, Abraham Hirsz [UNESP]2013-09-302014-05-202013-09-302014-05-202009-11-06Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 42, n. 44, p. 11, 2009.1751-8113http://hdl.handle.net/11449/24171In this paper, we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated with even graded Lie algebraic structures. We propose a modification of the dressing method, in order to incorporate a non-trivial vacuum configuration and construct a deformed vertex operator for (s) over capl(2) that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.11engNegative even grade mKdV hierarchy and its soliton solutionsArtigo10.1088/1751-8113/42/44/445204WOS:000270905800011Acesso restrito92877760781495518215976645016606