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Dark-dark solitons for a set of the coupled nonlinear Schrödinger equations in a birefringent fiber

Author

Listed:
  • Yuan, Yu-Qiang
  • Tian, Bo
  • Liu, Lei
  • Sun, Yan
  • Du, Zhong

Abstract

In this paper, we investigate a set of the coupled nonlinear Schrödinger equations with the four-wave mixing term, which describes the optical solitons in a birefringent fiber. Via the Kadomtsev–Petviashvili hierarchy reduction, we obtain the nondegenerate N-dark-dark soliton solutions in the Gram determinant form. Based on such solutions, we get the nondegenerate dark-dark solitons. With the analytic and graphic analysis, soliton propagating on a periodic background is presented. Via the asymptotic analysis, we find that the interaction between the two dark-dark solitons is elastic, and such an elastic interaction is shown graphically. Moreover, we also present the three dark-dark and bound-state dark-dark solitons.

Suggested Citation

  • Yuan, Yu-Qiang & Tian, Bo & Liu, Lei & Sun, Yan & Du, Zhong, 2018. "Dark-dark solitons for a set of the coupled nonlinear Schrödinger equations in a birefringent fiber," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 216-221.
    • Handle: RePEc:eee:chsofr:v:107:y:2018:i:c:p:216-221
    DOI: 10.1016/j.chaos.2017.12.015
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