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Exact traveling wave solutions to the higher-order nonlinear Schrödinger equation having Kerr nonlinearity form using two strategic integrations.

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Abstract

In this paper, exact traveling wave solutions to the higher-order nonlinear Schrödinger equation having Kerr nonlinearity form are derived, by adopting two relevant architecture of integration methods namely the extended sinh-Gordon equation expansion method and extended Jacobi elliptic function methods (EJEF method). The studied model, describes the propagation of optical solitons in nonlinear optical fibers. As a results, various types of traveling wave solutions are obtained including Jacobi elliptic function solutions. For some special cases, when the modulus of m approach 0 or 1 it is gained respectively periodic wave solutions and hyperbolic function solutions. Comparing our results with the well-known results in literature are also reported. Lastly the 3D profile to some of the obtained solutions are also plotted.

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Acknowledgements

The authors wish to thank the referee for his comments on this paper.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, the University of Maroua, P.O. Box 814, Maroua, Cameroon

    Savaïssou Nestor & Gambo Betchewe

  2. Department of Mathematics, Science Faculty, Firat University, 23119, Elazig, Turkey

    Mustafa Inc

  3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

    Mustafa Inc

  4. Department of Physics, Faculty of Science, The University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon

    Serge Y. Doka

Authors
  1. Savaïssou Nestor
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  2. Gambo Betchewe
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  4. Serge Y. Doka
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Correspondence to Mustafa Inc.

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Nestor, S., Betchewe, G., Inc, M. et al. Exact traveling wave solutions to the higher-order nonlinear Schrödinger equation having Kerr nonlinearity form using two strategic integrations.. Eur. Phys. J. Plus 135, 380 (2020). https://doi.org/10.1140/epjp/s13360-020-00384-x

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