Dynamical study of groundwater systems using the new auxiliary equation method

Naveed Shahid; Muhammad Zafarullah Baber; Tahira Sumbal Shaikh; Gulshan Iqbal; Nauman Ahmed; Ali Akgül; Manuel De la Sen

Results in Physics (Mar 2024)

Dynamical study of groundwater systems using the new auxiliary equation method

Naveed Shahid,
Muhammad Zafarullah Baber,
Tahira Sumbal Shaikh,
Gulshan Iqbal,
Nauman Ahmed,
Ali Akgül,
Manuel De la Sen

Affiliations

Naveed Shahid: Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Muhammad Zafarullah Baber: Department of Mathematics, University of Management and Technology, Lahore, Pakistan
Tahira Sumbal Shaikh: Department of Mathematics, Lahore College for Women University, Lahore, Pakistan
Gulshan Iqbal: Department of Mathematics, Lahore College for Women University, Lahore, Pakistan
Nauman Ahmed: Department of Mathematics, University of Management and Technology, Lahore, Pakistan; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey
Ali Akgül: Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey; Corresponding author at: Siirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey.
Manuel De la Sen: Department of Electricity and Electronics Institute of Research and Development of Processes Faculty of Science and Technology University of the Basque Country, Campus of Leioa Bizkaia Leioa 48040, Spain

Journal volume & issue: Vol. 58
p. 107444

Abstract

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In this research, the exact solitary wave solutions to the non-linear problem of underground water levels are found. This study examines the transport of solutes in groundwater systems with variable density flow. The mathematical equation that is used to explain how groundwater moves through an aquifer is known as the groundwater flow equation and is used in hydrogeology. The auxiliary equation method is used to gain the analytical solutions to the underlying model equation. These solutions are gained in the form of hyperbolic, trigonometric, exponential, and rational function solutions. Mathematica generates two-dimensional and three-dimensional graphs with suitable parameter values. The resulting solutions are also useful for researching wave interactions in several novel structures.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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