Nonautonomous mixed mKdV-sinh-Gordon hierarchy
Exactly Solvable and Integrable Systems
2010-08-27 v2
Abstract
The construction of a nonautonomous mixed mKdV/sine-Gordon model is proposed by employing an infinite dimensional affine Lie algebraic structure within the zero curvature representation. A systematic construction of soliton solutions is provided by an adaptation of the dressing method which takes into account arbitrary time dependent functions. A particular choice of those arbitrary functions provides an interesting solution describing the transition of a pure mKdV system into a pure sine-Gordon soliton.
Keywords
Cite
@article{arxiv.1004.3488,
title = {Nonautonomous mixed mKdV-sinh-Gordon hierarchy},
author = {J. F. Gomes and G. R. de Melo and L. H. Ymai and A. H. Zimerman},
journal= {arXiv preprint arXiv:1004.3488},
year = {2010}
}
Comments
14 pages 5 figures, Latex Revised improved version