4 citations · 12 across the 12 of their papers we have counts for
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Monodromy of generalized Lame equations with Darboux-Treibich-Verdier potentials: A universal law
Zhijie Chen, Chang-Shou Lin
The Darboux-Treibich-Verdier (DTV) potential is well-known as doubly-periodic solutions of the stationary KdV hierarchy (Tr…
The geometry of generalized Lame equation, III: One-to-one of the Riemann-Hilbert correspondence
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
In this paper, the third in a series, we continue to study the generalized Lamé equation H with the Darboux-Treibich-Verdier potential \begin{equation*} y^{\pr…
A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in
Zhijie Chen, Erjuan Fu, Chang-Shou Lin
In this paper, we study the spectrum of the complex Hill operator in with the Darboux-Treibich-Verdier potential \[q(x;τ):=…
The geometry of generalized Lamé equation, II: Existence of pre-modular forms and application
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
In this paper, the second in a series, we continue to study the generalized Lamé equation with the Treibich-Verdier potential \begin{equation*} y^{\prime \prime }(z)=\bigg[ \sum_{k…
The geometry of generalized Lamé equation, I
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
In this paper, we prove that the spectral curve of the generalized Lamé equation with the Treibich-Verdier potential \begin{equation*} y^{\prime \prime }(z)=\bigg[…