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Soliton and breather solutions for the seventh-order variable-coefficient nonlinear Schrödinger equation

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Abstract

In this article, a seventh-order variable-coefficient nonlinear Schrödinger equation is investigated in an optical fiber. By means of the Darboux transformation, soliton and breather solutions are derived and the following results are attained: (i) The one soliton and interactions of two solitons are presented, whose basic structures are parabolic-like, cubic and periodical-oscillating solitons; (ii) The first-order breather and interactions between the two breathers are studied. Several interesting nonlinear wave patterns such as cow-shaped breathers and breathers with periodic properties are displayed; (iii) The dynamic behaviors of solitons and breather waves are affected by the variable coefficients.

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Funding

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11371326, 11975145 and 12271488).

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, People’s Republic of China

    Jie Jin & Yi Zhang

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  1. Jie Jin
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  2. Yi Zhang
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Contributions

JJ: Writing-original draft, Conceptualization, Design, Execution, Interpretation of the work. YZ: Writing-review and editing, Conceptualization, Design, Execution, Interpretation of the work.

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Correspondence to Yi Zhang.

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Jin, J., Zhang, Y. Soliton and breather solutions for the seventh-order variable-coefficient nonlinear Schrödinger equation. Opt Quant Electron 55, 733 (2023). https://doi.org/10.1007/s11082-023-05004-3

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