THERMAL SCIENCE

International Scientific Journal

Lian-Xiang Cui

,

Li-Mei YanORCID

,

Yan-Qin LiuORCID

NEW EXACT SOLUTIONS OF FRACTIONAL HIROTA-SATSUMA COUPLED KORTEWEG-DE VRIES EQUATIONS

ABSTRACT
An improved extended tg-function method, which combines the fractional complex transform and the extended tanh-function method, is applied to find exact solutions of non-linear fractional partial differential equations. Generalized Hirota-Satsuma coupled Korteweg-de Vries equations are used as an example to elucidate the effectiveness and simplicity of the method.
KEYWORDS
improved extended tg-function method, modified Riemann-Liouville derivative, fractional generalized Hirota-Satsuma coupled Korteweg-de Vries equation
PAPER SUBMITTED: 2014-10-16
PAPER REVISED: 2015-02-26
PAPER ACCEPTED: 2015-04-23
PUBLISHED ONLINE: 2015-10-25
DOI REFERENCE: https://doi.org/10.2298/TSCI1504173C
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2015, VOLUME 19, ISSUE No. 4, PAGES [1173 - 1176]
REFERENCES
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[2] Liu, Y. Q., Yan, L. M., Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov- Veselov Equations Using a Generalized Fractional Subequation Method, Abstract and Applied Analysis, 2013 (2013), ID 839613, 10.1155/2013/839613
[3] Li, Z. B., He, J.-H., Fractional Complex Transform for Fractional Differential Equations, Mathematical and Computational Applications, 15 (2010), 5, pp. 970-973, 10.3390/mca15050970
[4] Fan, E. G., Dai, H. H., A Direct Approach with Computerized Symbolic Computation for Finding a Series of Traveling Waves to non-Linear Equations, Computer Physics Communications, 153 (2003), 1, pp. 77-30, 10.1016/s0010-4655(02)00873-1
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NEW EXACT SOLUTIONS OF FRACTIONAL HIROTA-SATSUMA COUPLED KORTEWEG-DE VRIES EQUATIONS

© 2026 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence