On Darboux-Treibich-Verdier potentials
classification
🧮 math-ph
math.MP
keywords
familypotentialscontainingdarbouxdarboux-treibich-verdierellipticfinite-gapfour-parameter
read the original abstract
It is shown that the four-parameter family of elliptic functions $$u_D(z)=m_0(m_0+1)\wp(z)+\sum_{i=1}^3 m_i(m_i+1)\wp(z-\omega_i)$$ introduced by Darboux and rediscovered a hundred years later by Treibich and Verdier, is the most general meromorphic family containing infinitely many finite-gap potentials.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.