New computational results for a prototype of an excitable system

被引:67
作者
Ahmad, Hijaz [1 ]
Alam, Md Nur [2 ]
Omri, Mohamed [3 ]
机构
[1] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
[2] Pabna Univ Sci & Technol, Dept Math, Pabna 6600, Bangladesh
[3] King Abdulaziz Univ, Deanship Sci Res, Jeddah, Saudi Arabia
关键词
Nonlinear biological model; The modified G '/G-expansion method; Computational solutions; NPP model; Nonlinear partial differential equations; PREDATOR-PREY SYSTEM; NUMERICAL-METHOD; WAVE STRUCTURES; SIMULATIONS; EQUATION;
D O I
10.1016/j.rinp.2021.104666
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This present paper uses a well known computational scheme such as the modified (G' /G)-expansion method to the nonlinear predator-prey (NPP) system for forming new computational results that define a prototype of an excitable system. We construct twenty new computational solutions that define hyperbolic, trigonometric, and rational. Two-dimensional, three-dimensional, and contour shapes are depicted to demonstrate the acquired answers' more physical as well as dynamical features. Comparing our acquired responses and that obtained in previously written research articles presents the novelty of our research. The computational scheme's representation demonstrates its helpful and straightforward procedure that produces a kink-type shape, singular kink shape, bright and dark singular lump shape, multiple bright and dark lump shape, and different types of singular kink shapes. Their ability to manipulate many applications of nonlinear partial differential equations (NLPDEs) is also presented.
引用
收藏
页数:11
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