KMS Of Academy of mathematics and systems sciences, CAS
| Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials | |
| Li, Xin1; Wang, Li2,3,4; Zhou, Zijian5,6; Chen, Yong7; Yan, Zhenya5,6 | |
| 2022-03-24 | |
| Source Publication | NONLINEAR DYNAMICS
 |
| ISSN | 0924-090X |
| Pages | 12 |
| Abstract | In this paper, the self-focusing nonlinear Schrodinger (NLS) equation with PT-symmetric harmonic-hyperbolic-Gaussian function potentials is investigated, and some intriguing results are presented. From the threshold curves of the PT-symmetry breaking resulting from the spontaneous breaking of the phases, we find that the real and imaginary parts of the spectra of the corresponding PT-invariant Hamiltonian differ from the known findings. Both analytical and numerical (via Newton iteration method) single and double-hump solitons are found for the focusing NLS equation with PT-symmetric HHG function potentials. Furthermore, we use Fourier pseudo-spectral method to explore the stable dynamics of solitons and the interplays between nonlinear modes and exotic solitons in the PT-symmetric potentials to further verify the stability of optical solitons with two different profiles. Finally, the adiabatic excitations of the nonlinear modes are performed such that the soliton stable excitations are found. These interesting results will lay the foundation for the further investigations of PT-symmetric linear and nonlinear physical models in nonlinear optics, Bose-Einstein condensates, and other relevant physical fields. |
| Keyword | Nonlinear Schrodinger equation PT-symmetric harmonic-hyperbolic-Gaussian potential Soliton stability Soliton excitations and collisions |
| DOI | 10.1007/s11071-022-07362-1 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11925108] ; Natural Science Foundation of Jiangsu Province[BK20181030] ; Natural Science Foundation of Jiangsu Province of China[BK20190991] |
| WOS Research Area | Engineering ; Mechanics |
| WOS Subject | Engineering, Mechanical ; Mechanics |
| WOS ID | WOS:000772731800002 |
| Publisher | SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60255 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Yan, Zhenya |
| Affiliation | 1.Changshu Inst Technol, Sch Math & Stat, Changshu 215500, Jiangsu, Peoples R China 2.Yanqi Lake Beijing Inst Math Sci & Applicat, Beijing 101408, Peoples R China 3.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 4.Tsinghua Univ, Dept Math, Beijing 100084, Peoples R China 5.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China 6.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 7.Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Xin,Wang, Li,Zhou, Zijian,et al. Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials[J]. NONLINEAR DYNAMICS,2022:12. |
| APA | Li, Xin,Wang, Li,Zhou, Zijian,Chen, Yong,&Yan, Zhenya.(2022).Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials.NONLINEAR DYNAMICS,12. |
| MLA | Li, Xin,et al."Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials".NONLINEAR DYNAMICS (2022):12. |
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