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Solitons and elliptic function solutions of higher-order dispersive and perturbed nonlinear Schrödinger equations with the power-law nonlinearities in non-Kerr medium

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Abstract.

In this paper, the fourth-order dispersive non-linear Schrödinger equation (NLSE) with dual power law nonlinearity and perturbed NLSE with power law nonlinearity in non-Kerr medium are analyzed by employing the improved auxiliary equation technique. The perturbed NLSE depict the quantic nonlinearity effects on promulgation of the ultra-short optical pulses in a non-Kerr medium like an optical fiber. We achieved various types of soliton and elliptic function solutions, some of them are novel and did not exist previously. Graphically, representations of some obtained exact solutions are also given via assigning suitable values to the parameters that aid for understanding the physical phenomenon of these equations. The less computational work and the achieved solutions show that the current proposed technique is powerful and effective. Furthermore many other such types of higher-order NLSEs can be solved using the current method.

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, China

    Naila Nasreen, Dianchen Lu & Muhammad Arshad

  2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia

    Aly R. Seadawy

  3. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

    Aly R. Seadawy

Authors
  1. Naila Nasreen
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  2. Aly R. Seadawy
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  3. Dianchen Lu
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  4. Muhammad Arshad
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Correspondence to Aly R. Seadawy.

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Nasreen, N., Seadawy, A.R., Lu, D. et al. Solitons and elliptic function solutions of higher-order dispersive and perturbed nonlinear Schrödinger equations with the power-law nonlinearities in non-Kerr medium. Eur. Phys. J. Plus 134, 485 (2019). https://doi.org/10.1140/epjp/i2019-12836-2

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  • DOI: https://doi.org/10.1140/epjp/i2019-12836-2

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