THERMAL SCIENCE

International Scientific Journal

Kang-Hua Yan

,

Xu-Wei Lu

,

Chang Liu

,

Wen-Min Li

BELL SHAPE SOLITARY, ANTI-KINK SOLITARY AND PERIODIC WAVE SOLUTIONS OF THE BENJAMIN ONO EQUATION FOR SHALLOW WATER WAVES

ABSTRACT
In this study, the Benjamin Ono equation which acts a key role for the shallow water waves is explored. Two effective approaches namely the Bernoulli sub-equation function method and simple frequency formulation method are adopted to extract some different wave solutions, which include the bell shape solitary, anti-kink solitary and periodic wave solutions. Correspondingly, the outlines of the diverse wave solutions are unveiled graphically through MAPLE.
KEYWORDS
Bernoulli sub-equation function method, Benjamin Ono equation, simple frequency formulation, solitary wave solutions
PAPER SUBMITTED: 2024-08-12
PAPER REVISED: 2024-09-14
PAPER ACCEPTED: 2024-12-06
PUBLISHED ONLINE: 2025-06-01
DOI REFERENCE: https://doi.org/10.2298/TSCI2502533Y
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE No. 2, PAGES [1533 - 1538]
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Bell shape solitary, anti-kink solitary and periodic wave solutions of the Benjamin Ono equation for shallow water waves

© 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