Vector NLS hierarchy solitons revisited: dressing transformation and tau function approach

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dc.creatorBlas, Harold
dc.date1999-12-27
dc.date.accessioned2026-07-07T06:17:56Z
dc.date.available2026-07-07T06:17:56Z
dc.descriptionWe discuss some algebraic aspects of the integrable vector non-linear Schrödinger hierarchies (GNLS$_{r}$). These are hierarchies of zero-curvature equations constructed from affine Kac-Moody algebras $\hat{sl}_{r+1}$. Using the dressing transformation method and the tau-function formalism, we construct the N-soliton solutions of the GNLS$_{r}$ systems. The explicit matrix elements in the case of GNLS$_{1}$ are computed using level one vertex operator representations.
dc.descriptionLaTex, 41 pages
dc.identifierhttps://arxiv.org/abs/solv-int/9912015
dc.identifierhttp://arxiv.org/abs/solv-int/9912015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94564
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleVector NLS hierarchy solitons revisited: dressing transformation and tau function approach
dc.typetext

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