Hirota bilinear forms with 2-toroidal symmetry

Abstract

In this note, we compute Hirota bilinear forms arising from both homogeneous and principal realization of vertex representations of 2-toroidal Lie algebras of type $A_l,D_l,E_l$.

11 pages, AMS-latex file

References in corpus (2)

• Principal Vertex Operator Representations for Toroidal Lie Algebras
• Two-toroidal Lie Algebra as Current Algebra of Four-dimensional Kähler WZW Model

Cited by in corpus (4)

• Notes on Exact Multi-Soliton Solutions of Noncommutative Integrable Hierarchies
• Two extensions of 1D Toda hierarchy
• Differential-difference system related to toroidal Lie algebra
• Level one Weyl modules for toroidal Lie algebras