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Negative Even Grade mKdV Hierarchy and its Soliton Solutions · Around

2009

Negative Even Grade mKdV Hierarchy and its Soliton Solutions

Gomes, J. F., Franca, G. Starvaggi, de Melo, G. R. et al.

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In this paper we provide an algebraic construction for the negative even mKdV hierarchy which gives rise to time evolutions associated to even graded Lie algebraic structure.

We propose a modification of the dressing method, in order to incorporate a non-trivial vacuum configuration and construct a deformed vertex operator for $\hat{sl}(2)$, that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.

Built on

T. Miwa, “ Infinite Dimensional Lie Algebras of Hidden Symmetries of Soliton equations”, in Soliton Theory: a survey of results, Ed. A. Fordy, Manchester Univ. Press, Manchester (1990), p. 338
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O. Babelon, D. Bernard, Int. J. Mod. Phys
1993
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D.I. Olive, N. Turok, J.W.R. Underwood, Nucl. Phys
1993
Earlier work this paper cites.

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Original
Cited in the paper.

Then

H. Aratyn , J.F. Gomes and A.H. Zimerman J. of Geom. and Phys
2003
Later among the works it cites.
H. Aratyn, J. F. Gomes, A. H. Zimerman,“Algebraic construction of integrable and super integrable hierarchies” , XI International Conference on Symmetry Methods in Physics, June 21-24, 2004, Prague, Czech Republic, hep-th/040823
2004
Later among the works it cites.

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