A Continuum Limit of the Toda Lattice

Series: Memoirs of the American Mathematical Society

Continuum Limit of the Toda Lattice Using the integrability of the finite Toda lattice, this title adapts the method introduced by Lax and Levermore for the study of the small dispersion limit of the Korteweg de Vries equations to the case of the Toda lattice. It also makes extensive use of techniques from the theory of Riemann-Hilbert problems.