THERMAL SCIENCE

International Scientific Journal

Nauman Ahmed

,

Mansoor Alsulami

,

Muhammad Zafarullah Baber

,

Shazia Umer

,

Ali Akgul

,

Ali Raza

INVESTIGATION OF CLOSED FORM SOLITARY WAVE SOLUTIONS FOR THE COUPLED NON-LINEAR REACTION-DIFFUSION MODEL

ABSTRACT
In this study, the coupled non-linear reaction-diffusion model is under consideration for the exact solitary wave solutions. These equations are visible in a vast range of conditions, including not only biological and chemical and physical disciplines, as well as in the environmental and social sciences. The well-known approach namely as generalized Riccati equation mapping method (GREM) is employed to produce closed form exact solitary wave solutions to a particular coupled non-linear diffusion reaction equations. After applying this method, we perceive analytical solutions in the form of exponential, trigonometric, rational and hyperbolic functions. Moreover, for the physical interpretation, some solutions are drawn in the form of 3-D, 2-D, and corresponding contours for the different values of parameters.
KEYWORDS
coupled system, exact solutions, non-linear diffusion equation, Generalized Riccati equation mapping method
PAPER SUBMITTED: 2025-03-18
PAPER REVISED: 2025-04-21
PAPER ACCEPTED: 2025-05-01
PUBLISHED ONLINE: 2025-11-29
DOI REFERENCE: https://doi.org/10.2298/TSCI2506431A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2025, VOLUME 29, ISSUE No. 6, PAGES [4431 - 4441]
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Investigation of closed form solitary wave solutions for the coupled non-linear reaction-diffusion model

© 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