On the Virasoro Structure of Symmetry Algebras of Nonlinear Partial Differential Equations


Guengoer F.

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, vol.2, 2006 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2
  • Publication Date: 2006
  • Doi Number: 10.3842/sigma.2006.014
  • Title of Journal : SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Abstract

We discuss Lie algebras of the Lie symmetry groups of two generically non-integrable equations in one temporal and two space dimensions arising in different contexts. The first is a generalization of the KP equation and contains 9 arbitrary functions of one and two arguments. The second one is a system of PDEs that depend on some physical parameters. We require that these PDEs are invariant under a Kac-Moody-Virasoro algebra. This leads to several limitations on the coefficients (either functions or parameters) under which equations are prime candidates for being integrable.