Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
Etsurō DateDepartment of Mathematics, Osaka University, Toyonaka, Osaka 560S. TanakaDepartment of Mathematics, Osaka University, Toyonaka, Osaka 560
1976en
ABI
Annotatsiya
An analogue of the inverse scattering theory for the discrete Hill's equation is developed. A method consists of the introduction of abelian integrals and the solution of Jacobi's inversion problem. The equation of motion of the periodic Tod lattice is integrated exactly by means of Riemann theta functions.
Hali tarjima qilinmagan
Identifikatorlar
Iqtiboslar va manbalar
6 ta iqtibos0 ta foydalanilgan manba