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Vector nonlinear localized and cnoidal waves associated with the negative coherent coupling in strongly birefringent fibers

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  • Kengne, Emmanuel

Abstract

The propagation of nonlinear localized waves in strongly birefringent fibers is investigated in this Letter. Physically, such nonlinear structures arise when the optical fibers with strong birefringence where the slowly varying pulse envelopes are governed by coherently coupled nonlinear Schrödinger equations with self-phase modulation, cross-phase modulation, and energy exchange terms. The direct method and the method of Weierstrass’s elliptic function are used to establish that numerous distinct types of vector nonlinear localized and cnoidal waves do exist in the system, including vector bright/dark solitons, vector cnoidal-solitons, and vector combinations of bright/dark solitons and cnoidal-soliton. Solitons and cnoidal-solitons with different dynamic properties are explored via adjusting the degree of birefringence and the solution parameters. Interestingly, we show that varying the degree of birefringence transforms a two-hump bright solitons into flat-bottom dark solitons. Our results may be useful for the optical switching with the combined effects of self-phase modulation, cross-phase modulation, and negative coherent coupling.

Suggested Citation

  • Kengne, Emmanuel, 2026. "Vector nonlinear localized and cnoidal waves associated with the negative coherent coupling in strongly birefringent fibers," Chaos, Solitons & Fractals, Elsevier, vol. 207(C).
    • Handle: RePEc:eee:chsofr:v:207:y:2026:i:c:s0960077926001876
    DOI: 10.1016/j.chaos.2026.118046
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