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Dromion-like structures and periodic wave solutions for variable-coefficients complex cubic–quintic Ginzburg–Landau equation influenced by higher-order effects and nonlinear gain

  • Yuanyuan Yan
  • Wenjun LiuEmail author
  • Qin Zhou
  • Anjan Biswas
Original paper
First Online:
  • 55 Downloads

Abstract

In this work, the variable-coefficients complex cubic–quintic Ginzburg–Landau equation (CCQGLE) influenced by higher-order effects and nonlinear gain is considered. Based on the asymmetric method, analytic one-soliton solution for the variable-coefficients CCQGLE is constructed for the first time. In addition, with some certain conditions, the periodic wave and dromion-like structures are derived. The results obtained may be helpful in understanding the solitons amplification and solitons management in optical fiber.

Keywords

Solitons Variable-coefficients Ginzburg–Landau equation Dromion-like structures Periodic wave solutions Asymmetric method 
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Notes

Acknowledgements

The work of Wenjun Liu was supported by the National Natural Science Foundation of China (NSFC) (11674036; 11875008); Beijing Youth Top-Notch Talent Support Program (2017000026833ZK08); State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University (2019GZKF03007).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.

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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Information Photonics and Optical Communications, and School of ScienceBeijing University of Posts and TelecommunicationsBeijingPeople’s Republic of China
  2. 2.School of Electronics and Information EngineeringWuhan Donghu UniversityWuhanPeople’s Republic of China
  3. 3.Department of Physics, Chemistry and MathematicsAlabama A & M UniversityNormalUSA
  4. 4.Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  5. 5.Department of Mathematics and StatisticsTshwane University of TechnologyPretoriaSouth Africa

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