Rauch-Wojciechowski, S.; Marciniak, K.; Blaszak, M. - In: Physica A: Statistical Mechanics and its Applications 233 (1996) 1, pp. 307-330
We show that each stationary flow of the KdV and Harry Dym hierarchies of soliton equations, which are (2m+1)-st order ODEs (m=0,1…), has two parametrisations as a set of Newton equations with velocity-independent forces. Forces are potential and these Newton equations follow from a Lagrangian...