Multi-component supersymmetric D type Drinfeld–Sokolov hierarchy and its Virasoro symmetry

Abstract

In this paper, we define a multi-component supersymmetric B type 2KP(MS2BKP) hierarchy. Under a reduction, we derive a multi-component supersymmetric D type Drinfeld–Sokolov hierarchy which has a multi super Virasoro algebraic structure.

Keywords

• Virasoro symmetries
• Multi-component supersymmetric B type KP hierarchy
• Orlov-Schulman operators
• Multi-component supersymmetric D type Drinfeld–Sokolov hierarchy