Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation
This paper obtains the numerical solutions of the elliptic solitons in a (1+2)-dimensional anisotropic nonlocal nonlinear fractional Schrödinger equation, and verifies their stabilities by the direct propagation method. The results show that the properties of such solitons rela...
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IEEE
2019-01-01
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| Series: | IEEE Photonics Journal |
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| Online Access: | https://ieeexplore.ieee.org/document/8752451/ |
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| _version_ | 1850081646814953472 |
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| author | Qing Wang ZhenZhou Deng |
| author_facet | Qing Wang ZhenZhou Deng |
| author_sort | Qing Wang |
| collection | DOAJ |
| description | This paper obtains the numerical solutions of the elliptic solitons in a (1+2)-dimensional anisotropic nonlocal nonlinear fractional Schrödinger equation, and verifies their stabilities by the direct propagation method. The results show that the properties of such solitons relatively depend on the Lévy index. Such as the soliton shape varies with the change of Lévy index. When the Lévy index decreases, the ellipticity will increase, while the critical power will decrease. Furthermore, we demonstrate the physical features exhibited by the higher order elliptic solitons for a different Lévy index. |
| format | Article |
| id | doaj-art-520d8d6c029e4fd4bf400f8cf6c55c67 |
| institution | DOAJ |
| issn | 1943-0655 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Photonics Journal |
| spelling | doaj-art-520d8d6c029e4fd4bf400f8cf6c55c672025-08-20T02:44:40ZengIEEEIEEE Photonics Journal1943-06552019-01-011141810.1109/JPHOT.2019.29261288752451Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger EquationQing Wang0https://orcid.org/0000-0002-3607-594XZhenZhou Deng1https://orcid.org/0000-0003-0471-8880School of Information Engineering, Nanchang University, Nanchang, ChinaSchool of Information Engineering, Nanchang University, Nanchang, ChinaThis paper obtains the numerical solutions of the elliptic solitons in a (1+2)-dimensional anisotropic nonlocal nonlinear fractional Schrödinger equation, and verifies their stabilities by the direct propagation method. The results show that the properties of such solitons relatively depend on the Lévy index. Such as the soliton shape varies with the change of Lévy index. When the Lévy index decreases, the ellipticity will increase, while the critical power will decrease. Furthermore, we demonstrate the physical features exhibited by the higher order elliptic solitons for a different Lévy index.https://ieeexplore.ieee.org/document/8752451/Nonlinear opticsanisotropic nonlocalityfractional diffraction effectelliptic optical soliton |
| spellingShingle | Qing Wang ZhenZhou Deng Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation IEEE Photonics Journal Nonlinear optics anisotropic nonlocality fractional diffraction effect elliptic optical soliton |
| title | Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation |
| title_full | Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation |
| title_fullStr | Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation |
| title_full_unstemmed | Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation |
| title_short | Elliptic Solitons in (1+2)-Dimensional Anisotropic Nonlocal Nonlinear Fractional Schrödinger Equation |
| title_sort | elliptic solitons in 1 2 dimensional anisotropic nonlocal nonlinear fractional schr x00f6 dinger equation |
| topic | Nonlinear optics anisotropic nonlocality fractional diffraction effect elliptic optical soliton |
| url | https://ieeexplore.ieee.org/document/8752451/ |
| work_keys_str_mv | AT qingwang ellipticsolitonsin12dimensionalanisotropicnonlocalnonlinearfractionalschrx00f6dingerequation AT zhenzhoudeng ellipticsolitonsin12dimensionalanisotropicnonlocalnonlinearfractionalschrx00f6dingerequation |