3 papers
solv-int1999
Lax pair, Darboux Transformations and solitonic solutions for a (2+1) dimensional NLSE
P. G. Estevez, G. A. Hernáez
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.…
solv-int1999
Discrete equations and the singular manifold method
P. G. Estevez, P. A. Clarkson
The Painleve expansion for the second Painleve equation (PII) and fourth Painleve equation (PIV) have two branches. The singular manifold method therefore requires two singular man…
solv-int1998
Darboux Transformations and solutions for an equation in 2+1 dimensions
Pilar Garcia Estevez
Painleve analysis and the singular manifold method are the tools used in this paper to perform a complete study of an equation in 2+1 dimensions. This procedure has allowed us to o…