2 papers
nlin.SI2005
The sixth Painleve equation as similarity reduction of gl_3 hierarchy
Saburo Kakei, Tetsuya Kikuchi
Scaling symmetry of gl_n-type Drinfel'd-Sokolov hierarchy is investigated. Applying similarity reduction to the hierarchy, one can obtain the Schlesinger equation with (n+1) regula…
nlin.SI2004
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…