Bright soliton solutions of the (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing term

Lili Wang, Zitong Luan, Qin Zhou, Anjan Biswas, Abdullah Kamis Alzahrani, Wenjun Liu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

The (2+1)-dimensional generalized coupled nonlinear Schrödinger equation with the four-wave mixing (FWM) term is studied in this paper, which describes the optical solitons in a birefringent fiber. By virtue of the Hirota method, the one- and two-soliton solutions are derived. On the basis of solutions obtained, we discuss how the values of the FWM and some free parameters affect the solitons’ peformance. The FWM parameter can help to control the amplitude of the solitons. Meanwhile, by setting the values of certain free parameters, we can control the solitons’ propagation direction and speed, and reduce the interactions between them as well. In addition, the energy transfer of solitons during elastic collision and separation is also discussed. The conclusions here may be useful in improving the communication quality in multi-mode fibers.

Original languageEnglish
Pages (from-to)2613-2620
Number of pages8
JournalNonlinear Dynamics
Volume104
Issue number3
DOIs
Publication statusPublished - May 2021
Externally publishedYes

Keywords

  • Bright soliton solution
  • Coupled nonlinear Schrödinger (GCNLS) equation
  • Hirota bilinear method
  • Soliton

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