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Generalized optical soliton solutions to the (3+1)-dimensional resonant nonlinear Schrödinger equation with Kerr and parabolic law nonlinearities

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Abstract

The resonant nonlinear Schrödinger equation in three dimensions featuring both the Kerr and parabolic law nonlinearities has been considered in this paper due to its vital role in the propagation of solitons in optical fibers. Optical soliton solutions to this important model consisting of dark, singular and combo solitons alongside various periodic solutions that are new and more general to the lately devised solutions have been presented. We also reported the constraint conditions that guarantee the survival of these solitons and depicted certain results.

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Acknowledgements

The author appreciate the constructive remarks and suggestions of the anonymous referees that helped to improve the paper. José Francisco Gómez Aguilar acknowledges the support provided by CONACyT: cátedras CONACyT para jóvenes investigadores 2014 and SNI-CONACyT.

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Correspondence to R. I. Nuruddeen or J. F. Gómez-Aguilar.

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Sedeeg, A.K.H., Nuruddeen, R.I. & Gómez-Aguilar, J.F. Generalized optical soliton solutions to the (3+1)-dimensional resonant nonlinear Schrödinger equation with Kerr and parabolic law nonlinearities. Opt Quant Electron 51, 173 (2019). https://doi.org/10.1007/s11082-019-1889-6

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Keywords

  • Resonant nonlinear Schrödinger equations
  • Optical solitons
  • Tanh expansion method