Motion of poles and zeros of special solutions of nonlinear and linear partial differential equations and related «solvable» many-body problems

• DOI: 10.1007/bf02721013
• Publication Date: 2007-12-18T08:57:34Z
• Authors: F. Calogero
• Keywords: 0103 physical sciences; 01 natural sciences

The motion of the poles and zeros of special solutions of certain nonlinear and linear partial differential equations is shown to be interpretable in terms of equivalent many-body problems. Several solvable many-body models are thus introduced and discussed. The treatment is limited to problems involving a finite number of particles moving in one space dimension.