1999/10/14 by P.G. Estévez, P. G. Estevez, Estevez, P. G. +2
Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Numerical methods for differential equations #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9910005
LaTeX, 9 figures
arxiv created 1999/10/14 · arxiv updated 2009/11/30
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.