Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE
arXiv:solv-int/9910005
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 Schrödiger equation in 2+1 dimensions. In this way we can iteratively build different kind of solutions with solitonic behavior.
LaTeX, 9 figures