Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential
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- Fajun Yu
- Shenyang Normal University School of Mathematics and Systematic Sciences, , Shenyang 110034, China
書誌事項
- 公開日
- 2017-02-01
- DOI
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- 10.1063/1.4975763
- 公開者
- AIP Publishing
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説明
<jats:p>Starting from a discrete spectral problem, we derive a hierarchy of nonlinear discrete equations which include the Ablowitz-Ladik (AL) equation. We analytically study the discrete rogue-wave (DRW) solutions of AL equation with three free parameters. The trajectories of peaks and depressions of profiles for the first- and second-order DRWs are produced by means of analytical and numerical methods. In particular, we study the solutions with dispersion in parity-time (PT) symmetric potential for Ablowitz-Musslimani equation. And we consider the non-autonomous DRW solutions, parameters controlling and their interactions with variable coefficients, and predict the long-living rogue wave solutions. Our results might provide useful information for potential applications of synthetic PT symmetric systems in nonlinear optics and condensed matter physics.</jats:p>
収録刊行物
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- Chaos: An Interdisciplinary Journal of Nonlinear Science
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Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (2), 2017-02-01
AIP Publishing