THERMAL SCIENCE

International Scientific Journal

Zühal Küçükarslan Yüzbaşi

,

Ebru Cavlak Aslan

,

Mustafa Inc

,

Dumitru Baleanu

ON EXACT SOLUTIONS FOR NEW COUPLED NONLINEAR MODELS GETTING EVOLUTION OF CURVES IN GALILEAN SPACE

ABSTRACT
In this work, the new coupled nonlinear partial differential equations (CNLPDEs) getting the time evolution of the curvatures of the evolving curve are derived in the Galilean space. Exact solutions for these new CNLPDEs are obtained. Finally, Lie symmetry analysis is performed on these new CNLPDEs and the algebra of Lie point symmetries of these new equations is found.
KEYWORDS
Lie symmetry analysis, CNLPDEs, Soliton solutions, Bell-Shaped and Kink solitary wave, Curve evolution, Galilean space
PAPER SUBMITTED: 2018-10-15
PAPER REVISED: 2018-11-20
PAPER ACCEPTED: 2019-01-17
PUBLISHED ONLINE: 2019-03-09
DOI REFERENCE: https://doi.org/10.2298/TSCI181015036K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement, PAGES [227 - 233]
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On exact solutions for new coupled nonlinear models getting evolution of curves in Galilean space

© 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