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Travelling wave solutions and soliton solutions for the nonlinear transmission line using the generalized Riccati equation mapping method

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Abstract

In this paper, we investigate exact soliton solutions to a nonlinear transmission line. Using a concise and simple method known as the generalized Riccati equation mapping method, we solve a continuous nonlinear model associated with the previous nonlinear transmission line. As a result, we obtain miscellaneous travelling wave solutions including trigonometric, hyperbolic, and rational functions.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, The University of Maroua, PO Box 814, Maroua, Cameroon

    Boudoue Hubert Malwe & Gambo Betchewe

  2. Higher Teachers’ Training College of Maroua, The University of Maroua, PO Box 55, Maroua, Cameroon

    Gambo Betchewe & Serge Y. Doka

  3. Department of Physics, Faculty of Science, The University of Yaounde I, PO Box 812, Yaounde, Cameroon

    Timoleon Crepin Kofane

Authors
  1. Boudoue Hubert Malwe
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  2. Gambo Betchewe
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  3. Serge Y. Doka
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  4. Timoleon Crepin Kofane
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Correspondence to Boudoue Hubert Malwe.

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Malwe, B.H., Betchewe, G., Doka, S.Y. et al. Travelling wave solutions and soliton solutions for the nonlinear transmission line using the generalized Riccati equation mapping method. Nonlinear Dyn 84, 171–177 (2016). https://doi.org/10.1007/s11071-015-2318-4

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  • DOI: https://doi.org/10.1007/s11071-015-2318-4

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