Negative even grade mKdV hierarchy and its soliton solutions

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 construc...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2009-11, Vol.42 (44), p.445204-445204 (11)
Main Authors: Gomes, J F, França, G Starvaggi, de Melo, G R, Zimerman, A H
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
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Summary: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 that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/42/44/445204