Plenty accurate soliton wave solutions of the prototype of an excitable system
Source abstract
Abstract
In this paper, the nonlinear fractional Lotka–Volterra model is analyzed and numerically studied. This research is based on applying the three latest analytical schemes and three other numerical schemes to construct rich wave solutions. In different forms, many novel solitary wave solutions are built and presented in two-dimensional, three-dimensional, and contour plots. The numerical method conditions are evaluated through the obtained analytical solutions, and the accuracy of the analytical solutions is studied. Many numerical solutions are constructed based on the employed schemes. Additionally, the analytical, semi-analytical, numerical, and absolute values of error between the values of obtained solutions are calculated with the different values of the given variable in the solutions. Furthermore, the match between the obtained analytical solution and the numerical solution has been explained through some two-dimensional distributed radar charts. The contribution of this article is demonstrated by comparing the obtained solution with the recently published results of the same model.
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Research context
OpenAlex topics: Nonlinear Waves and Solitons · Fractional Differential Equations Solutions · Mathematical and Theoretical Epidemiology and Ecology Models
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Faculty of Science and Arts, Mahayil Asir King Khalid University 1 , Abha, Saudi Arabia
School of Mathematics and Information Science, Henan Polytechnic University 2 , Jiaozuo 454000, People’s Republic of China
Division of Biochemistry, Department of Pharmacology, College of Pharmacy, Taif University 3 , P.O. Box 11099, Taif 21944, Saudi Arabia
Department of Mathematics, Faculty of Science, Jiangsu University 4 , 212013 Zhenjiang, China
Department of Basic Science, Obour High Institute for Engineering and Technology 5 , 11828 Cairo, Egypt
Funding
King Khaled University · Taif University
References (25)
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