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Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity

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Abstract

In this paper, we investigate the KdV equation with dual-power law nonlinearity. As a result, we have obtained general exact travelling wave soliton solutions such as bright soliton solution, dark soliton solution and periodic solution. These solutions have many free parameters in such away that they may be used to simulate many experimental situations. The main contribution in this work is to give the general solution of the obtained equations with different values of parameters \(n\).

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Funding

The reported study by NAK was funded by RFBR according to the research project no. 18-29-10039.

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Authors and Affiliations

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

    Fibay Urbain & Malwe Boudoue Hubert

  2. Department of Applied Mathematics, National Research Nuclear University MEPhI, Moscow, Russia

    N. A. Kudryashov

  3. Laboratoire d’Automatique et d’Informatique Applique (LAIA), IUT-FV of Bandjoun, The University of Dschang, Bandjoun, P.O. Box 134, Bandjoun, Cameroon

    E. Tala-Tebue

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

    S. Y. Doka

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

    Kofane Timoleon Crepin

Authors
  1. Fibay Urbain
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  2. N. A. Kudryashov
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  3. E. Tala-Tebue
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  4. Malwe Boudoue Hubert
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  5. S. Y. Doka
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  6. Kofane Timoleon Crepin
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Corresponding authors

Correspondence to Fibay Urbain, N. A. Kudryashov, E. Tala-Tebue, Malwe Boudoue Hubert, S. Y. Doka or Kofane Timoleon Crepin.

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Urbain, F., Kudryashov, N.A., Tala-Tebue, E. et al. Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity. Comput. Math. and Math. Phys. 61, 431–435 (2021). https://doi.org/10.1134/S0965542521030064

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  • DOI: https://doi.org/10.1134/S0965542521030064

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