N = 2 supersymmetric extension on multi-component D type Drinfeld–Sokolov hierarchy

Abstract

In this paper, we define a N=2 multi-component supersymmetric B type 2KP(MS2BKP) hierarchy and its additional symmetries. These additional flows form a B type multi SW1+∞ Lie algebra. Under a reduction, we derive a N=2 multi-component supersymmetric D type Drinfeld–Sokolov hierarchy which has a multi super Virasoro algebraic structure.

Keywords

• Virasoro symmetries
• N=2 multi-component supersymmetric B type KP hierarchy
• Orlov-Schulman operators
• SW1+∞ Lie algebra
• N=2 multi-component supersymmetric D type Drinfeld–Sokolov hierarchy