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., 2021, Volume 61, Number 3,Page 457

This article is cited in 8 papers

Partial Differential Equations

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

Fibay Urbain^a, N. A. Kudryashov^b, E. Tala-Tebue^c, Malwe Boudoue Hubert^a, S. Y. Doka^d, Kofane Timoleon Crepin^e

^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

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.

UDC: 517.95

Received: 28.04.2019
Revised: 20.06.2020
Accepted: 16.09.2020

DOI: 10.31857/S0044466921030066