KMS Of Academy of mathematics and systems sciences, CAS
| The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations | |
Yan, Zhenya1 ; Chen, Yong
| |
| 2017-07-01 | |
| Source Publication | CHAOS
 |
| ISSN | 1054-1500 |
| Volume | 27Issue:7Pages:14 |
| Abstract | We investigate the nonlinear Schrodinger (NLS) equation with generalized nonlinearities and complex non-Hermitian potentials and present the novel parity-time-(PT-) symmetric potentials for the NLS equation with power-law nonlinearities supporting some bright solitons. For distinct types of PT-symmetric potentials including Scarf-II, Hermite-Gaussian, and asymptotically periodic potentials, we, respectively, explore the phase transitions for the linear Hamiltonian operators. Moreover, we analytically find stable bright solitons in the generalized NLS equations with several types of PT-symmetric potentials, and their stability is corroborated by the linear stability spectrum and direct wave-propagation simulations. Interactions of two solitons are also explored. More interestingly, we find that the nonlinearity can excite the unstable linear modes (i.e., possessing broken linear PT-symmetric phase) to stable nonlinear modes. The results may excite potential applications in nonlinear optics, Bose-Einstein condensates, and relevant fields. Published by AIP Publishing. |
| DOI | 10.1063/1.4995363 |
| Language | 英语 |
| Funding Project | NSFC[11571346] ; Youth Innovation Promotion Association CAS |
| WOS Research Area | Mathematics ; Physics |
| WOS Subject | Mathematics, Applied ; Physics, Mathematical |
| WOS ID | WOS:000406762000016 |
| Publisher | AMER INST PHYSICS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/26334 |
| Collection | 系统科学研究所 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Yan, Zhenya,Chen, Yong. The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations[J]. CHAOS,2017,27(7):14. |
| APA | Yan, Zhenya,&Chen, Yong.(2017).The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations.CHAOS,27(7),14. |
| MLA | Yan, Zhenya,et al."The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations".CHAOS 27.7(2017):14. |
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