THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Zhen Zhang

,

Kang-Jia Wang

,

Kai Zhang

ON THE PERIODIC WAVE SOLUTIONS OF THE (2+1)-D KONOPELCHENKO-DUBROVSKY EQUATION IN FLUID MECHANICS

ABSTRACT
The central orientation of this work is to plumb the (2+1)-D Konopelchenko-Dubrovsky equation that is utilized widely to describe certain non-linear phenomena in the field of the fluid mechanics. Two effective methods namely the variational method and the energy balance theory are employed to construct the periodic wave solutions. As predicted, the results extracted by these two approaches are almost identical, which is anticipated to offer some new viewpoints to the exploration of the periodic wave theory in physics.
KEYWORDS
periodic wave solution, variational principle, energy balance theory, variational method, Hamiltonian
PAPER SUBMITTED: 2024-10-21
PAPER REVISED: 2024-11-16
PAPER ACCEPTED: 2024-12-07
PUBLISHED ONLINE: 2025-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI2502551Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE Issue 2, PAGES [1551 - 1556]
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On the periodic wave solutions of the (2+1)-D Konopelchenko-Dubrovsky equation in fluid mechanics

2025 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