title: Integrable discrete PT symmetric model.
abstract: An exactly solvable discrete PT invariant nonlinear Schrödinger-like model is introduced. It is an integrable Hamiltonian system that exhibits a nontrivial nonlinear PT symmetry. A discrete one-soliton solution is constructed using a left-right Riemann-Hilbert formulation. It is shown that this pure soliton exhibits unique features such as power oscillations and singularity formation. The proposed model can be viewed as a discretization of a recently obtained integrable nonlocal nonlinear Schrödinger equation.
authors.affiliation: Department of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, Colorado 80309-0526, USA.
authors.forename: Mark J
authors.initials: MJ
authors.lastname: Ablowitz
authors.affiliation: Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510, USA.
authors.forename: Ziad H
authors.initials: ZH
authors.lastname: Musslimani
mesh_terms: D016014:Linear Models; D017711:Nonlinear Dynamics; D055585:Physical Phenomena