Exact soliton solutions to the Cahn–Allen equation and Predator–Prey model with truncated M-fractional derivative

Results in Physics

Alphonse Houwe¹  Souleymanou Abbagari²  Mustafa Inc³  Raheela Manzoor⁴  Asim Zafar⁴  Shao-Wen Yao⁵ 

[1] Department of Medical Research, China Medical University Taichung, Taiwan;Fırat University, Science Faculty, Department of Mathematics, Elazig, Turkey;Biruni University, Department of Computer Engineering, Istanbul, Turkey;Department of Mathematics, Sardar Bahadur Khan Women’s University, Quetta, Pakistan;School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China;

关键词: Cahn–Allen equation;    Predator–Prey model;    Truncated M-fractional derivative;    Extended Sinh–Gordon equation expansion method;    Exact soliton solutions;   

DOI  :  

来源: DOAJ

【 摘 要 】

The current research is about new exact soliton solutions to the Cahn–Allen equation and Predator–Prey model with the most general fractional derivative operator. The novel truncated M-fractional derivative is applied to study the aforementioned models to secure soliton solutions via the modified integration scheme known as the extended Sinh–Gordon equation expansion method (ShGEEM). This study provides the dark, singular, singular-dark, kink solitons and other solutions with certain conditions. The gained results are also verified with the use of symbolic software. The obtained solutions may be applied in the demonstration of the Cahn–Allen equation and Predator–Prey model in some better way using a fractional derivative. These solutions suggest that this method is more effective, straight forward and reliable as compared to other methods.

【 授权许可】

Unknown