Affine Lie group approach to a derivative nonlinear Schrödinger equation and its similarity reduction
نویسندگان
چکیده
The generalized Drinfel’d-Sokolov hierarchies studied by de Groot-HollowoodMiramontes are extended from the viewpoint of Sato-Wilson dressing method. In the A (1) 1 case, we obtain the hierarchy that include the derivative nonlinear Schrödinger equation. We give two types of affine Weyl group symmetry of the hierarchy based on the Gauss decomposition of the A (1) 1 affine Lie group. The fourth Painlevé equation and their Weyl group symmetry are obtained as a similarity reduction. We also clarify the connection between these systems and monodromy preserving deformations.
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تاریخ انتشار 2004