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Stability and soliton solutions for a parity-time-symmetric vector nonlinear Schrödinger system

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Abstract

In this paper, we consider the two-coupled nonlinear Schrödinger equations with parity-time-symmetric potential in the presence of four-wave mixing. We construct the soliton solutions for the vector nonlinear Schrödinger equations with some PT-symmetric potentials. Then the linear-stability spectrum for solitary waves is studied. Moreover, soliton solutions in high dimensional case are also considered.

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Acknowledgements

L. Han was supported by the Fundamental Research Funds for the Central Universities (Grant 2018MS054).

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Authors and Affiliations

  1. Department of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China

    Lijia Han & Le Xin

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  1. Lijia Han
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  2. Le Xin
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Correspondence to Lijia Han.

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Han, L., Xin, L. Stability and soliton solutions for a parity-time-symmetric vector nonlinear Schrödinger system. Indian J Phys 92, 1291–1298 (2018). https://doi.org/10.1007/s12648-018-1205-5

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  • DOI: https://doi.org/10.1007/s12648-018-1205-5

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