33 citations · 339 across the 43 of their papers we have counts for
3 papers · 2 filters
On two-parameter solutions of simultaneous ultradiscrete Painleve II equation with parity variables
Hikaru Igarashi, Kouichi Takemura
We introduce a simultaneous ultradiscrete Painleve II equation with parity variables, which is shown to be more suitable for studying two-parameter solutions than the single second…
Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin +1
We study the spectral polynomial of the Treibich-Verdier potential. Such spectral polynomial, which is a generalization of the classical Lame polynomial, plays fundamental roles in…
On reducible monodromy representations of some generalized Lamé equation
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin +1
In this note, we compute the explicit formula of the monodromy data for a generalized Lamé equation when its monodromy is reducible but not completely reducible. We also solve the…