Kac-Moody—Virasoro Symmetry Algebra of (2+1)-Dimensional Dispersive Long-WaveEquation with Arbitrary Order Invariant

摘要

By Lie symmetry method, the Lie point symmetries and its Kac—Moody—Virasoro (KMV) symmetry algebraof (2+1)-dimensional dispersive long-wave equation (DLWE) are obtained, and the finite transformation of DL WE is givenby symmetry group direct method, which can recover Lie point symmetries. Then KMV symmetry algebra of DLWEwith arbitrary order invariant is also obtained. On basis of this algebra the group invariant solutions and similarityreductions are also derived.