Journal
NONLINEAR DYNAMICS
Volume 79, Issue 1, Pages 409-415Publisher
SPRINGER
DOI: 10.1007/s11071-014-1674-9
Keywords
Parity-time symmetry; Gain and loss; Nonlinear Schrodinger equation; Optical soliton
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Funding
- Belgian Federal Science Policy Office
- Marie-Curie Actions (EP7) from the European Commission
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We address the existence and stability of spatial localized modes supported by a parity-time symmetric complex potential in the presence of power-law nonlinearity. The analytical expressions of the localized modes, which are Gaussian in nature, are obtained in both (1+1) and (2+1) dimensions. A linear stability analysis corroborated by the direct numerical simulations reveals that these analytical localized modes can propagate stably for a wide range of the potential parameters and for various order nonlinearities. Some dynamical characteristics of these solutions, such as the power and the transverse power-flow density, are also examined.
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