1999/12/27 by Harold Blas, Blas, Harold
Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9912015
LaTex, 41 pages
arxiv created 1999/12/27 · arxiv updated 2009/11/30
We discuss some algebraic aspects of the integrable vector non-linear Schrödinger hierarchies (GNLSr). These are hierarchies of zero-curvature equations constructed from affine Kac-Moody algebras slr+1. Using the dressing transformation method and the tau-function formalism, we construct the N-soliton solutions of the GNLSr systems. The explicit matrix elements in the case of GNLS1 are computed using level one vertex operator representations.