THERMAL SCIENCE

International Scientific Journal

Unal Ic

EXP-FUCTION METHOD FOR EXACT SOLUTIONS OF SOME NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS

ABSTRACT
In this study, we have obtained the exact solutions of (2+1) and (3+1)-D constant coefficient KdV equations by applying the exponential function method. These exact solutions we find are in the form of an exponential function. In addition, we have seen that these solutions provide the equations by using MATHEMATICA 11.3 program. Apart from that, we have shown the graphics performance of some of the solutions found.
KEYWORDS
(2+1)-D constant coefficient KdV equation, exact solution, (3+1)-D constant coefficient KdV equation, exponential function method
PAPER SUBMITTED: 2022-08-18
PAPER REVISED: 2022-09-20
PAPER ACCEPTED: 2022-10-01
PUBLISHED ONLINE: 2023-01-21
DOI REFERENCE: https://doi.org/10.2298/TSCI22S1139I
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special Issue, PAGES [139 - 147]
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Exp-fuction method for exact solutions of some non-linear partial differential 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