THERMAL SCIENCE

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Ebru Sebahat Das

RETRIEVAL OF SOLITON SOLUTIONS OF (1+1)-DIMENSIONAL NON-LINEAR TELEGRAPH EQUATION

ABSTRACT
In this work, we aim to determine the possible soliton solutions and examine the behaviors of the (1+1)-dimensional non-linear Telegraph equation (NTE) which is used to model signal processing for the propagation of transmission of the electric impulses and also wave theory process by using the extended Kudryashov method. We started by finding the non-linear ordinary differential form of the (1+1)-NTE with the aid of a suitable wave transformation. Then, the extended Kudryashov method approach has been demonstrated and implemented to the obtained non-linear ordinary differential form. As a result, a polynomial expression has been achieved and converted to a linear algebraic equation system. Soliton solutions of the investigated equation are produced by solving the system and choosing the appropriate solution sets. Finally, graphical depictions, gained results and necessary comments are given.
KEYWORDS
electrical transmission, soliton solution, wave transform, electric impulse
PAPER SUBMITTED: 2022-06-22
PAPER REVISED: 2022-09-12
PAPER ACCEPTED: 2022-10-15
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2801D
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [801 - 810]
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Retrieval of soliton solutions of (1+1)-dimensional non-linear telegraph equation

© 2024 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