Stable novel and accurate solitary wave solutions of an integrable equation: Qiao model

Open Physics

Zhao Dexu¹  Lu Dianchen¹  Khater Mostafa M. A.¹  Salama Samir A.² 

[1] Department of Mathematics, Faculty of Science, Jiangsu University, 212013, Zhenjiang, China;Department of Pharmacology, Division of Biochemistry, College of Pharmacy, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;

关键词: completely integrable hierarchy;    qiao model;    analytical and approximate solutions;    stability property;   

DOI  :  10.1515/phys-2021-0078

来源: DOAJ

【 摘 要 】

This article investigates the dynamical and physical behavior of the second positive member in a new, utterly integrable hierarchy. This investigation depends on constructing novel analytical and approximate solutions to the Qiao model. The model’s name is after the researcher who derived the mathematical formula of it in 2007. This model possesses a Lax representation and bi-Hamiltonian structure. This study employs the unified and variational iteration (VI) method to obtain analytical and numerical solutions to the considered model. The obtained analytical solutions are used to calculate the necessary conditions for applying the suggested numerical method that makes checking the obtained solutions’ accuracy a valuable option. The obtained solutions are sketched in different techniques to explain more physical and dynamics details of the Qiao model and show the matching between obtained solutions.

【 授权许可】

Unknown