Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrödinger Equation

The fractional second-and third-order nonlinear Schr?dinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of the Levy index on different solitons is analyzed.The stability and stability interval of solitons are discussed.The anti-interference ability...

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Bibliographic Details
Published inChinese physics letters Vol. 38; no. 9; pp. 90501 - 21
Main Authors Cao, Qi-Hao, Dai, Chao-Qing
Format Journal Article
LanguageEnglish
Published College of Optical,Mechanical and Electrical Engineering,Zhejiang A&F University,Lin'an 311300,China 01.10.2021
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Summary:The fractional second-and third-order nonlinear Schr?dinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of the Levy index on different solitons is analyzed.The stability and stability interval of solitons are discussed.The anti-interference ability of stable solitons to the small disturbance shows a good robustness.
ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/38/9/090501