Affiliation:
1. Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum, Turkey
Abstract
this paper, it is discussed over the method of reduced differential
transform method with the help of conformable derivative of the time
fractional differential equation. This method is applied to the differential
equation K(m,n), which is a member of the Korteweg-de Vries equations. For
these solutions, certain values have been obtained depending on the ??
parameter and these values are shown on the table and graph. It is shown
that the method used here is effective and easy to apply.
Publisher
National Library of Serbia
Subject
Renewable Energy, Sustainability and the Environment
Reference23 articles.
1. Russel, J. S., Report on Waves, Report of the Fourteenth Meeting of the British Association for the Advancement of Science, September 1844, London, York, 1845
2. Korteweg, D. J., de Vries, G., XLI, On the Change of form of Long Waves Advancing in a Rectangular Canal, and on a New Type of Long Stationary Waves, Philosophical Magazine Series, 39 (1895), 240, pp. 422-443
3. Zabusky, N. J., Kruskal, M. D., Interaction of “Solitons” in a Collisionless Plasma and the Recurrence of Initial States, Physical Review Letters, 15 (1965), 6, pp. 240-243
4. Redondo, A. B., et al., Pure-Quartic Solitons, Nature Communications, 7 (2016), 1, pp. 1-8
5. Ziane, D., et al., Fractional Homotopy Perturbation Transform Method for Solving the Time-Fractional KdV, K(2,2) and Burgers Equations, International Journal of Open Problems in Computer Science and Mathematics, 8 (2015), 2, pp. 63-75
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