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Optical singular and dark solitons to the nonlinear Schrödinger equation in magneto-optic waveguides with anti-cubic nonlinearity

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Abstract

The present paper aims to investigate the coupled nonlinear Schrödinger equation in magneto-optic waveguides having anti-cubic (AC) law nonlinearity. The solitons secured to magneto-optic waveguides with AC law nonlinearity are extremely useful to fiber-optic transmission technology. Three constructive techniques, namely, the \((G^{\prime }/G)\)-expansion method, the modified simple equation method, and the extended tanh method are utilized to find the exact soliton solutions of this model. Consequently, dark, singular, combined dark-singular and periodic soliton solutions are obtained. The behaviours of soliton solutions are presented by 3D and 2D plots.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Jaffna, Jaffna, Sri Lanka

    Thilagarajah Mathanaranjan

  2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran

    Hadi Rezazadeh

  3. Department of Mathematics, Nevşehir Hacı Bektaş Veli University, Nevşehir, Turkey

    Mehmet Şenol

  4. Department of Mathematics, Lafayette College, Easton, PA, USA

    Lanre Akinyemi

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  1. Thilagarajah Mathanaranjan
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  2. Hadi Rezazadeh
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  3. Mehmet Şenol
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  4. Lanre Akinyemi
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Correspondence to Thilagarajah Mathanaranjan.

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Mathanaranjan, T., Rezazadeh, H., Şenol, M. et al. Optical singular and dark solitons to the nonlinear Schrödinger equation in magneto-optic waveguides with anti-cubic nonlinearity. Opt Quant Electron 53, 722 (2021). https://doi.org/10.1007/s11082-021-03383-z

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