Some remarks on symmetries, dressing, and virasoro action

Abstract

With background reference, to work of Bullough, Case, Chen, Cheng, Fuchssteiner, Grinevic, Konopelcenko, Lee, Li, Lin, Matsukidaira, G. and W. Oevel, Orlov, Satsuma, Semikhatov, Shulman, and Strampp, general dressing formulas for KP situations are developed, based on wave and adjoint wave functions of the bare operators, and applications to conformal symmetries are indicated. First order mastersymmetries are exhibited in a coherent framework, with some new observations, and precise connections to Virasoro operators are spelled out, leading to the standard hereditary algebras, etc.

Keywords:

• Symmetries
• dressing
• Virasoro
• wave functions
• Lax operators

AMS:

• 35Q51
• 35Q58
• 58F07