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Space periodic solutions and rogue wave solution of the derivative nonlinear Schrödinger equation

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Wuhan University Journal of Natural Sciences

Abstract

The derivative nonlinear Schrödinger equation, which is extensively applied in plasma physics and nonlinear optics, is analytically studied by Hirota method. Space periodic solutions are determined by means of Hirota’s bilinear formalism, and the rogue wave solution is derived as a long-wave limit of the space periodic solution.

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Authors and Affiliations

  1. School of Physics and Technology, Wuhan University, Wuhan, Hubei, 430072, China

    Guoquan Zhou & Xujun Li

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  1. Guoquan Zhou
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  2. Xujun Li
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Correspondence to Guoquan Zhou.

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Foundation item: Supported by the Teaching Steering Committee Research Project of Higher-Learning Institutions of Ministry of Education (JZW-16-DD-15)

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Zhou, G., Li, X. Space periodic solutions and rogue wave solution of the derivative nonlinear Schrödinger equation. Wuhan Univ. J. Nat. Sci. 22, 373–379 (2017). https://doi.org/10.1007/s11859-017-1261-2

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  • DOI: https://doi.org/10.1007/s11859-017-1261-2

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