An Extension of the KdV Hierarchy Arising from a Representation of a Toroidal Lie Algebra

arXivsolv-int/9706008MaRDI QIDQ6511233

Author name not available (Why is that?)

Abstract: In this article we show how to construct hierarchies of partial differential equations from the vertex operator representations of toroidal Lie algebras. In the smallest example - rank 2 toroidal cover of $s{l}_2$ - we obtain an extension of the KdV hierarchy. We use the action of the corresponding infinite-dimensional group to construct solutions for these non-linear PDEs.

This page was built for publication: An Extension of the KdV Hierarchy Arising from a Representation of a Toroidal Lie Algebra

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6511233)