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A general integrable three-component coupled nonlocal nonlinear Schrödinger equation

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Abstract

In this paper, we investigate a general integrable three-component coupled nonlocal nonlinear Schrödinger system with the parity-time symmetry. The general Nth Darboux transformation for this equation is constructed by proposing its Lax pair and infinitely many conservation laws. By using the Darboux transformation, its soliton solutions are obtained. Finally, we concretely discuss the dynamics of the obtained soliton solutions, which are also demonstrated by some figures.

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Acknowledgements

The work is supported by the National Natural Science Foundation of China (Nos. 11435005, 11475052 and 11675055) and Shanghai Knowledge Service Platform for Trustworthy Internet of Things (No. ZF1213).

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Authors and Affiliations

  1. School of Computer Science and Software Engineering, East China Normal University, Shanghai, 200062, China

    Yan Zhang, Yinping Liu & Xiaoyan Tang

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  1. Yan Zhang
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  2. Yinping Liu
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  3. Xiaoyan Tang
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Correspondence to Yinping Liu.

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Zhang, Y., Liu, Y. & Tang, X. A general integrable three-component coupled nonlocal nonlinear Schrödinger equation. Nonlinear Dyn 89, 2729–2738 (2017). https://doi.org/10.1007/s11071-017-3621-z

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  • DOI: https://doi.org/10.1007/s11071-017-3621-z

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