期刊
SCIENTIFIC REPORTS
卷 7, 期 -, 页码 -出版社
NATURE PUBLISHING GROUP
DOI: 10.1038/s41598-017-01401-3
关键词
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资金
- NSFC [11571346, 61621003]
- Youth Innovation Promotion Association CAS
- NSF [2015616]
- Binational (US-Israel) Science Foundation [2015616]
- Division Of Environmental Biology
- Direct For Biological Sciences [2015616] Funding Source: National Science Foundation
Since the parity-time-(PT -) symmetric quantum mechanics was put forward, fundamental properties of some linear and nonlinear models with PT -symmetric potentials have been investigated. However, previous studies of PT -symmetric waves were limited to constant diffraction coefficients in the ambient medium. Here we address effects of variable diffraction coefficient on the beam dynamics in nonlinear media with generalized PT -symmetric Scarf-II potentials. The broken linear PT symmetry phase may enjoy a restoration with the growing diffraction parameter. Continuous families of one-and two-dimensional solitons are found to be stable. Particularly, some stable solitons are analytically found. The existence range and propagation dynamics of the solitons are identified. Transformation of the solitons by means of adiabatically varying parameters, and collisions between solitons are studied too. We also explore the evolution of constant-intensity waves in a model combining the variable diffraction coefficient and complex potentials with globally balanced gain and loss, which are more general than PT -symmetric ones, but feature similar properties. Our results may suggest new experiments for PT -symmetric nonlinear waves in nonlinear nonuniform optical media.
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