The m-component super KP hierarchy in Kac-van de Leur version

Abstract

In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators. Based on this, some super Hirota equations are determined and the bilinear identity is expressed by super Baker functions and tau function. Darboux transformation in terms of superfermions is also discussed.

Keywords

• The m-component super KP hierarchy
• Clifford superalgebra
• Vertex operators
• Super Hirota equations
• Darboux transformation