Computable Integrability (original) (raw)

iv Being unaware of the work of FPU, Toda was looking for an exact model of heat conduction, and eventually arrived at his exponential lattice. His method was to go back the usual way from equations to solutions: starting from a nonlinear wave given by an elliptic function, he attempted to derive a nonlinear equation to be satisfied by the nonlinear wave, and eventually arrived to his exponential lattice. Within less than a decade, the method of [21] and was extended to many other soliton equations, some of the most results in this direction are briefly presented below.