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Soliton solutions for the nonlocal nonlinear Schrödinger equation

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Abstract.

The Darboux transformation (DT) for the integrable nonlocal nonlinear Schrödinger equation (nNLSE) is constructed with the aid of loop group method. Based on the DT, we derive several types of analytical solutions for the focusing case and defocusing case, such as the periodical solutions, soliton solutions, breathers and rational ones. Dynamical properties for those solutions to the nNLSE are analyzed on basis of the solution expressions and figures.

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Authors and Affiliations

  1. Department of Basic Courses, Sichuan Finance and Economics Vocational College, Chengdu, 610101, Sichuan, China

    Xin Huang

  2. School of Mathematics, South China University of Technology, 510640, Guangzhou, China

    Liming Ling

Authors
  1. Xin Huang
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  2. Liming Ling
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Correspondence to Liming Ling.

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Huang, X., Ling, L. Soliton solutions for the nonlocal nonlinear Schrödinger equation. Eur. Phys. J. Plus 131, 148 (2016). https://doi.org/10.1140/epjp/i2016-16148-9

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  • DOI: https://doi.org/10.1140/epjp/i2016-16148-9

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