On Finite-Gap Elliptic Solutions of the KdV Equation

A.M. Korostil'
1997 Journal of Nonlinear Mathematical Physics  
We present a simple and general method for calculation of finite-gap elliptic solutions of the KdV equation as an isospectral deformation of Schrödinger potential based on their representation by rational functions of the elliptic Weierstrass functions.
doi:10.2991/jnmp.1997.4.1-2.28 fatcat:65e6jjkbmvcjlcykmzpcazg72i