Affine Lie group approach to a derivative nonlinear Schrödinger equatoin and its similarity reduction

Saburo Kakei, Tetsuya Kikuchi

The generalized Drinfel'd-Sokolov hierarchies studied by de Groot-Hollowood-Miramontes are extended from the viewpoint of Sato-Wilson dressing method. In the A_1^(1) case, we obtai…