Additional symmetries of the dispersionless cKP hierarchy

Abstract

In this paper, the additional symmetries of the dispersionless cKP hierarchy are given by introducing vital formal Laurent series Yl. The additional flows form a subalgebra of the Virasoro algebra. Furthermore, the additional flows acting on μ(t,z) and ρ(t,z) of the dispersionless cKP hierarchy are presented.

Keywords

• Dispersionless cKP hierarchy
• Additional symmetries
• Virasoro algebra