Dynamical study of groundwater systems using the new auxiliary equation method

被引：7
作者：
Shahid, Naveed [1 ]
Baber, Muhammad Zafarullah [1 ]
Shaikh, Tahira Sumbal [2 ]
Iqbal, Gulshan [2 ]
Ahmed, Nauman [1 ,4 ,5 ]
Akgul, Ali [3 ,4 ,5 ]
De la Sen, Manuel [6 ]
机构：
[1] Univ Management & Technol, Dept Math, Lahore, Pakistan
[2] Lahore Coll Women Univ, Dept Math, Lahore, Pakistan
[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkiye
[4] Lebanese Amer Univ, Dept Comp Sci & Math, Beirut, Lebanon
[5] eNear East Univ, Math Res Ctr, Dept Math, Near East Blvd,Mersin 10, TR-99138 Nicosia, Turkiye
[6] Univ Basque Country, Inst Res & Dev Proc, Fac Sci & Technol, Dept Elect & Elect, Campus Leioa, Leioa 48040, Spain
来源：
RESULTS IN PHYSICS | 2024年 / 58卷
关键词：
Exact solutions; Non-linear wave equation; Underground water equation; New auxiliary equation; TRAVELING-WAVE SOLUTIONS; F-EXPANSION METHOD;
D O I：
10.1016/j.rinp.2024.107444
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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 threedimensional graphs with suitable parameter values. The resulting solutions are also useful for researching wave interactions in several novel structures.
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收藏
页数：8
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