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Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics

Author

Listed:
  • Yu, Weitian
  • Wen, Xiaoyong
  • Liu, Wenjun

Abstract

In this paper, the three-coupled nonlinear Schrödinger equation, representing the complex optical pulse in three mode optical fibers, is discussed by the Hirota method. The stable transmissions of nondegenerate three-hump solitons are constructed. The evolutions of nondegenerate three-hump solitons to nondegenerate double-hump solitons and degenerate single-hump solitons are also discovered. The soliton transmission forms vary in different modes. With adjusting the wave numbers, we can effectively control the amplitude, pulse width, interval. The smaller the number of peaks, the higher the amplitude of solitons. Those results are benefit for increasing power to achieve laser amplification. The amplification and attenuation of solitons can also be adjusted by wave numbers. We hope that these studies will be helpful for pulse shaping and improving communication capacity in fiber optic communication systems.

Suggested Citation

  • Yu, Weitian & Wen, Xiaoyong & Liu, Wenjun, 2025. "Nondegenerate three-hump solitons for the nonlinear Schrödinger equations in optics," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005831
    DOI: 10.1016/j.chaos.2025.116570
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