Negative even grade mKdV hierarchy and its soliton solutions

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2009-11-06

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Iop Publishing Ltd

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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 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.

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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 42, n. 44, p. 11, 2009.