Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity
Fibay Urbain
1
,
N.A. Kudryashov
2
,
E. Tala-Tebue
3
,
Malwe Boudoue Hubert
1
,
S. Y. Doka
4
,
Kofane Timoleon Crepin
5
Publication type: Journal Article
Publication date: 2021-03-01
scimago Q2
wos Q3
SJR: 0.516
CiteScore: 1.4
Impact factor: 0.7
ISSN: 09655425, 15556662
Computational Mathematics
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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Total citations:
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Citations from 2024:
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Urbain F. et al. Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity // Computational Mathematics and Mathematical Physics. 2021. Vol. 61. No. 3. pp. 431-435.
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Urbain F., Kudryashov N., Tala-Tebue E., Hubert M. B., Doka S. Y., Crepin K. T. Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity // Computational Mathematics and Mathematical Physics. 2021. Vol. 61. No. 3. pp. 431-435.
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RIS
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TY - JOUR
DO - 10.1134/s0965542521030064
UR - https://doi.org/10.1134/s0965542521030064
TI - Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity
T2 - Computational Mathematics and Mathematical Physics
AU - Urbain, Fibay
AU - Kudryashov, N.A.
AU - Tala-Tebue, E.
AU - Hubert, Malwe Boudoue
AU - Doka, S. Y.
AU - Crepin, Kofane Timoleon
PY - 2021
DA - 2021/03/01
PB - Pleiades Publishing
SP - 431-435
IS - 3
VL - 61
SN - 0965-5425
SN - 1555-6662
ER -
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BibTex (up to 50 authors)
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@article{2021_Urbain,
author = {Fibay Urbain and N.A. Kudryashov and E. Tala-Tebue and Malwe Boudoue Hubert and S. Y. Doka and Kofane Timoleon Crepin},
title = {Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity},
journal = {Computational Mathematics and Mathematical Physics},
year = {2021},
volume = {61},
publisher = {Pleiades Publishing},
month = {mar},
url = {https://doi.org/10.1134/s0965542521030064},
number = {3},
pages = {431--435},
doi = {10.1134/s0965542521030064}
}
Cite this
MLA
Copy
Urbain, Fibay, et al. “Exact Solutions of the KdV Equation with Dual-Power Law Nonlinearity.” Computational Mathematics and Mathematical Physics, vol. 61, no. 3, Mar. 2021, pp. 431-435. https://doi.org/10.1134/s0965542521030064.