Virasoro symmetries of the constrained dispersionless mKP hierarchy

Abstract

This paper aims at the auto-Bäcklund transformations for the dispersionless mKP hierarchy, dispersionless Miura map between the constrained dispersionless mKP hierarchy and the constrained dispersionless Harry Dym hierarchy and Virasoro symmetries of the constrained dispersionless mKP hierarchy. The additional symmetries of the constrained dispersionless mKP hierarchy are constructed in a manner similar to that of the dispersionless mKP hierarchy. By comparison, a new Laurent series Yl is introduced. The additional flows form a subalgebra of the Virasoro algebra.

Keywords

• Constrained dispersionless mKP hierarchy
• Auto-Bäcklund transformations
• Dispersionless Miura map
• Additional symmetries
• Virasoro symmetries