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Stationary optical solitons with nonlinear chromatic dispersion and generalized temporal evolution by extended trial function approach

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  • Sucu, Nuray
  • Ekici, Mehmet
  • Biswas, Anjan

Abstract

This paper recovers stationary optical soliton solutions when chromatic dispersion, in addition to self–phase modulation, is rendered to be nonlinear. The extended trial function algorithm recovers stationary soliton solutions for eleven forms of nonlinear refractive index structures of optical fibers. The technical criteria for the existence of such stationary solitons are also presented.

Suggested Citation

  • Sucu, Nuray & Ekici, Mehmet & Biswas, Anjan, 2021. "Stationary optical solitons with nonlinear chromatic dispersion and generalized temporal evolution by extended trial function approach," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003258
    DOI: 10.1016/j.chaos.2021.110971
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    References listed on IDEAS

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    1. Yan, Zhenya & Chow, K.W. & Malomed, Boris A., 2009. "Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross–Pitaevskii equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3013-3019.
    2. Kudryashov, Nikolay A., 2020. "Highly dispersive optical solitons of equation with various polynomial nonlinearity law," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    3. Wazwaz, A.M., 2002. "General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations mK(n,n) in higher dimensional spaces," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(6), pages 519-531.
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    Cited by:

    1. Ekici, Mehmet & Sonmezoglu, Abdullah & Biswas, Anjan, 2021. "Stationary optical solitons with Kudryashov’s laws of refractive index," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Han, Tianyong & Li, Zhao & Li, Chenyu, 2023. "Bifurcation analysis, stationary optical solitons and exact solutions for generalized nonlinear Schrödinger equation with nonlinear chromatic dispersion and quintuple power-law of refractive index in ," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).

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