%0 Journal Article %T Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE %A P. G. Estevez %A G. A. Hern¨˘ez %J Physics %D 1999 %I arXiv %X 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. %U http://arxiv.org/abs/solv-int/9910005v1