期刊
PHYSICAL REVIEW E
卷 90, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.90.032912
关键词
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资金
- NSF [DMS-1310200, DMS-0908599]
- U.S. Air Force Office of Scientific Research [FA9550-12-1-0207]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1310200] Funding Source: National Science Foundation
An exactly solvable discrete PT invariant nonlinear Schrodinger-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 Schrodinger equation.
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