Negative Even Grade mKdV Hierarchy and its Soliton Solutions
High Energy Physics - Theory
2015-05-13 v1 Exactly Solvable and Integrable Systems
Abstract
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 , that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.
Keywords
Cite
@article{arxiv.0906.5579,
title = {Negative Even Grade mKdV Hierarchy and its Soliton Solutions},
author = {J. F. Gomes and G. Starvaggi Franca and G. R. de Melo and A. H. Zimerman},
journal= {arXiv preprint arXiv:0906.5579},
year = {2015}
}