Application of Dressing Method for Long Wave-Short Wave Resonance Interaction Equation
Exactly Solvable and Integrable Systems
2009-11-11 v1
Abstract
In this paper we investigate the application of Zakharov - Shabat dressing method to (2+1) - dimensional long wave - short wave resonance interaction equation (LSRI). Using this method we can construct the exact N - soliton solution of this equation depending on arbitrary constants. It contains both solutions which don't decay along N different directions in space infinity, and "dromion" ones, or localized solutions that decay exponentially in all directions.
Keywords
Cite
@article{arxiv.nlin/0612041,
title = {Application of Dressing Method for Long Wave-Short Wave Resonance Interaction Equation},
author = {Maria Yurova},
journal= {arXiv preprint arXiv:nlin/0612041},
year = {2009}
}
Comments
8 pages