Applications of Loop Group Factorization to Geometric Soliton Equations

Simple item page
dc.creatorTerng, Chuu-Lian
dc.date2006-11-03
dc.date.accessioned2026-07-07T07:32:28Z
dc.date.available2026-07-07T07:32:28Z
dc.descriptionThe 1-d Schrodinger flow on 2-sphere, the Gauss-Codazzi equation for flat Lagrangian submanifolds in C^n, and the space-time monopole equation are all examples of geometric soliton equations. The linear systems with a spectral parameter (Lax pair) associated to these equations satisfy the reality condition associated to SU(n). In this article, we explain the method developed jointly with K. Uhlenbeck, that uses various loop group factorizations to construct inverse scattering transforms, Backlund transformations, and solutions to Cauchy problems for these equations.
dc.identifierhttps://arxiv.org/abs/math/0611065
dc.identifierhttp://arxiv.org/abs/math/0611065
dc.identifierProceedings of the International Congress of Mathematicians, Madrid 2006, vol II, pp. 927-950
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119126
dc.subjectDifferential Geometry
dc.subject35Q51, 37K05, 53C07
dc.titleApplications of Loop Group Factorization to Geometric Soliton Equations
dc.typetext

Files

Collections

arXiv