On N-wave type systems and their gauge equivalent
Exactly Solvable and Integrable Systems
2009-11-07 v2
Abstract
The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the functions S(x,t) satisfying r= rank g nonlinear constraints. The corresponding Lax pairs and the time evolution of the scattering data are found. The Zakharov-Shabat dressing method is appropriately modified to construct their soliton solutions.
Keywords
Cite
@article{arxiv.nlin/0111027,
title = {On N-wave type systems and their gauge equivalent},
author = {Vladimir S. Gerdjikov and Georgi G. Grahovski and Nikolay A. Kostov},
journal= {arXiv preprint arXiv:nlin/0111027},
year = {2009}
}
Comments
5 pages, LaTeX 2e, revised version