Virasoro symmetries of the constrained dispersionless mKP hierarchy
Xiaoman Luo (College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, PR China); Chuanzhong Li (College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, PR China)
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 is introduced. The additional flows form a subalgebra of the Virasoro algebra.
