Analytic structure of a harmonically perturbed nonlinear dimer model

Abstract

A study of the complex time analytical structure of the solution of a nonlinear harmonically perturbed dimer model obtained from a discrete nonlinear Schrödinger equation by using SU(2) representation is made. From the local psi-series expansion the rescaled equations of motion governing the behaviour of the original equations in the neighbourhood of a singularity are derived. The rescaled equations can be solved exactly in terms of elliptic functions yielding via the inverse map explicit expressions for the singularity pattern in the complex time plane.