Soliton solution of three differential-difference equations in wronskian form

Abstract The soliton of the differential-difference equations: Toda lattice equation, non-linear lumped self-dual network equations and differential-difference analogue of the Korteweg-de Vries equation are written in terms of wronskian determinants and it is demonstrated how this way of writing the solutions makes the normally very difficult process of verifying the solution, much simpler.