Thermal Science

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Feng Ren

NEW ANALYTICAL METHOD FOR CUBIC KLEIN-GORDON EQUATION

ABSTRACT

In this paper, the (2+1)-D cubic Klein-Gordon model is investigated, which is used to described the propagation of dislocation in crystals. A simple and efficient analytical technology is successfully employed to seek some new periodic and solitary wave solutions, which is called sine-cosine method. The physics properties of these obtained periodic and solitary wave solutions are illustrated by corresponding graphs.

KEYWORDS

cubic Klein-Gordon equation, sine-cosine method, solitary wave solution

PAPER SUBMITTED: 2023-03-25

PAPER REVISED: 2023-05-23

PAPER ACCEPTED: 2023-06-21

PUBLISHED ONLINE: 2024-05-25

DOI REFERENCE: https://doi.org/10.2298/TSCI230325128R

CITATION EXPORT: view in browser or download as text file

THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE No. 4, PAGES [3361 - 3365]

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New analytical method for cubic Klein-Gordon equation

© 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