Based on the symmetry of the Q-deformed Kadomtsev-Petviashvili(q-KP)hierarchy,which is a q-deformation of the KP hierarchy,we construct the quantum torus symmetry of the q-KP hierarchy,which further leads to the quant...Based on the symmetry of the Q-deformed Kadomtsev-Petviashvili(q-KP)hierarchy,which is a q-deformation of the KP hierarchy,we construct the quantum torus symmetry of the q-KP hierarchy,which further leads to the quantum torus constraint of its tau function.Moreover,we generalize the system to a multi-component q-KP hierarchy that also has the well-known ghost symmetry.展开更多
基金supported by the National Natural Science Foundation of China under the grant No.11571192K.C.Wong Magna Fund in Ningbo University.
文摘Based on the symmetry of the Q-deformed Kadomtsev-Petviashvili(q-KP)hierarchy,which is a q-deformation of the KP hierarchy,we construct the quantum torus symmetry of the q-KP hierarchy,which further leads to the quantum torus constraint of its tau function.Moreover,we generalize the system to a multi-component q-KP hierarchy that also has the well-known ghost symmetry.