Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
Abstract
In this paper the Singular Manifold Method has allowed us to obtain the Lax pair, Darboux transformations and tau functions for a non-linear Schr\"odiger equation in 2+1 dimensions. In this way we can iteratively build different kind of solutions with solitonic behavior.
Keywords
Cite
@article{arxiv.solv-int/9910005,
title = {Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE},
author = {P. G. Estevez and G. A. Hernáez},
journal= {arXiv preprint arXiv:solv-int/9910005},
year = {2007}
}
Comments
LaTeX, 9 figures