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Reduced Non-Local Integrable NLS Hierarchies by Pairs of Local and Non-Local Constraints

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Abstract

We conduct three pairs of local and non-local group constraints for the Ablowitz-Kaup-Newell-Segur matrix eigenvalue problems and generate three reduced non-local integrable nonlinear Schrödinger (NLS) hierarchies. All resulting non-local equations possess infinitely many Lie-Bäcklund symmetries and conservation laws expressed in terms of differential functions of potentials.

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Funding

The work was supported in part by NSFC under the grants 11975145, 11972291 and 51771083, the Ministry of Science and Technology of China (G2021016032L), and the Natural Science Foundation for Colleges and Universities in Jiangsu Province (17 KJB 110020).

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Zhejiang, China

    Wen-Xiu Ma

  2. Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Wen-Xiu Ma

  3. Department of Mathematics and Statistics, University of South Florida, Tampa, FL, 33620-5700, USA

    Wen-Xiu Ma

  4. School of Mathematical and Statistical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho, 2735, South Africa

    Wen-Xiu Ma

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  1. Wen-Xiu Ma
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Ma, WX. Reduced Non-Local Integrable NLS Hierarchies by Pairs of Local and Non-Local Constraints. Int. J. Appl. Comput. Math 8, 206 (2022). https://doi.org/10.1007/s40819-022-01422-1

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  • DOI: https://doi.org/10.1007/s40819-022-01422-1

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