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Soliton solutions and traveling wave solutions for a discrete electrical lattice with nonlinear dispersion through the generalized Riccati equation mapping method

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Abstract

In this paper, through the generalized Riccati equation mapping method, we investigate soliton solutions in the upper and lower forbidden band gab of the Salerno equation describing nonlinear discrete electrical lattice. As a result, we obtain various hyperbolic and trigonometric functions solutions and for some appropriated parameters we obtain exact solutions including kink, antikink, breathers, and dark and bright solitons. The obtained solutions are useful for the signal transmission through the electrical lattice.

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Authors and Affiliations

  1. Department of Physics, Higher Teachers’ Training College of Maroua, The University of Maroua, P.O. Box 46, Maroua, Cameroon

    Yakada Salathiel, Yaouba Amadou, Gambo Betchewe & Serge Y. Doka

  2. Centre d’Excellence Africain en Technologie de l’Information et de la Communication, The University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    Yaouba Amadou, Gambo Betchewe, Serge Y. Doka & Kofane T. Crepin

  3. Department of Physics, Faculty of Science, The University of Maroua, P.O. Box 814, Maroua, Cameroon

    Gambo Betchewe

  4. Department of Physics, Faculty of Science, The University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    Kofane T. Crepin

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  1. Yakada Salathiel
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  2. Yaouba Amadou
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  3. Gambo Betchewe
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  4. Serge Y. Doka
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  5. Kofane T. Crepin
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Correspondence to Yakada Salathiel.

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Salathiel, Y., Amadou, Y., Betchewe, G. et al. Soliton solutions and traveling wave solutions for a discrete electrical lattice with nonlinear dispersion through the generalized Riccati equation mapping method. Nonlinear Dyn 87, 2435–2443 (2017). https://doi.org/10.1007/s11071-016-3201-7

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  • DOI: https://doi.org/10.1007/s11071-016-3201-7

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