12 citations · 32 across the 7 of their papers we have counts for
7 papers
Symmetries in the third Painlevé equation arising from the modified Pohlmeyer-Lund-Regge hierarchy
Tetsuya Kikuchi
We propose a modification of the AKNS hierarchy that includes the "modified" Pohlmeyer-Lund-Regge (mPLR) equation. Similarity reductions of this hierarchy give the second, third, a…
A q-analogue of gl_3 hierarchy and q-Painleve VI
Saburo Kakei, Tetsuya Kikuchi
A q-analogue of the gl_3 Drinfel'd-Sokolov hierarchy is proposed as a reduction of the q-KP hierarchy. Applying a similarity reduction and a q-Laplace transformation to the hierarc…
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…
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…
Similarity reduction of the modified Yajima-Oikawa equation
Tetsuya Kikuchi, Takeshi Ikeda, Saburo Kakei
We study a similarity reduction of the modified Yajima-Oikawa hierarchy. The hierarchy is associated with a non-standard Heisenberg subalgebra in the affine Lie algebra of type A_2…
Diagonalization of the elliptic Macdonald-Ruijsenaars difference system of type C_2
Tetsuya Kikuchi
We study a pair of commuting difference operators arising from the elliptic solution of the dynamical Yang-Baxter equation of type C_2. The operators act on the space of meromorphi…