30 years of finite-gap integration theory.

@article{Matveev200830YO,
  title={30 years of finite-gap integration theory.},
  author={Vladimir B Matveev},
  journal={Philosophical transactions. Series A, Mathematical, physical, and engineering sciences},
  year={2008},
  volume={366 1867},
  pages={837-75}
}
The method of finite-gap integration was created to solve the periodic KdV initial problem. Its development during last 30 years, combining the spectral theory of differential and difference operators with periodic coefficients, the algebraic geometry of compact Riemann surfaces and their Jacobians, the Riemann theta functions and inverse problems, had a… CONTINUE READING