Article

# Negative Even Grade mKdV Hierarchy and its Soliton Solutions

06/2009; DOI:abs/0906.5579
Source: arXiv

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 $\hat{sl}(2)$, that enable us to obtain explicit and systematic solutions for the whole negative even grade equations.

0 0
·
0 Bookmarks
·
23 Views

Available from

### Keywords

algebraic construction

deformed vertex operator

dressing method

non-trivial vacuum configuration

time evolutions

## Similar Publications

• ##### The algebraic structure behind the derivative nonlinear Schroedinger equation
G. S. Franca, J. F. Gomes, A. H. Zimerman