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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 3, Page 457
DOI: https://doi.org/10.31857/S0044466921030066 (Mi zvmmf11213) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Partial Differential Equations

Exact solutions of the KdV equation with dual-power law nonlinearty

Fibay Urbaina, N. A. Kudryashovb, E. Tala-Tebuec, Malwe Boudoue Huberta, S. Y. Dokad, Kofane Timoleon Crepine

a Department of Physics, Faculty of Science, The University of Maroua P.O. Box 814, Maroua, Cameroon
b Moscow Engineering Physics Institute (National Nuclear Research University)
c Laboratoire d'Automatique et d’Informatique Applique (LAIA), IUT-FV of Bandjoun, The University of Dschang, P.O. Box 134, Bandjoun, Cameroon
d Department of Physics, Faculty of Science, The University of Ngaoundere, P.O. Box 454, Ngaoundere, Cameroon
e Department of Physics, Faculty of Science, The University of Yaounde I, P.O. Box 812, Yaounde, Cameroon
Citations (8)
DOI: https://doi.org/10.31857/S0044466921030066
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 $n$.
Key words: the KdV equation, dual-power law nonlinearity, exact soliton solutions, bright soliton, dark soliton, anti-kink soliton.
Funding agency Grant number
Russian Foundation for Basic Research 18-29-10039
The reported study by NAK was funded by RFBR according to the research project no. 18-29-10039.
Received: 28.04.2019
Revised: 20.06.2020
Accepted: 16.09.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 3, Pages 431–435
DOI: https://doi.org/10.1134/S0965542521030064
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Fibay Urbain, N. A. Kudryashov, E. Tala-Tebue, Malwe Boudoue Hubert, S. Y. Doka, Kofane Timoleon Crepin, “Exact solutions of the KdV equation with dual-power law nonlinearty”, Zh. Vychisl. Mat. Mat. Fiz., 61:3 (2021), 457; Comput. Math. Math. Phys., 61:3 (2021), 431–435
Citation in format AMSBIB
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\by Fibay~Urbain, N.~A.~Kudryashov, E.~Tala-Tebue, Malwe~Boudoue~Hubert, S.~Y.~Doka, Kofane~Timoleon~Crepin
\paper Exact solutions of the KdV equation with dual-power law nonlinearty
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2021
\vol 61
\issue 3
\pages 457
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\crossref{https://doi.org/10.31857/S0044466921030066}
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\transl
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
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\pages 431--435
\crossref{https://doi.org/10.1134/S0965542521030064}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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