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Comparison between the new exact and numerical solutions of the Mikhailov–Novikov–Wang equation
Numerical Methods for Partial Differential Equations ( IF 3.9 ) Pub Date : 2021-01-20 , DOI: 10.1002/num.22775
Ahmet Bekir 1 , Maha S. M. Shehata 2 , Emad H. M. Zahran 3
Affiliation  

In this article, we employ the Mikhailov–Novikov–Wang integrable equation (MNWIE) appearing by means of the perturbatives symmetry approach to the rating of integrable non-evolutionary PDEs. The new exact soliton solutions of this equation which were not achieved before have been realized for the first time in the framework of the (G′/G)-expansion method. In the same vein and parallel, the corresponding numerical solutions of this equation have been established using the variational iteration method (VIM).

中文翻译:

Mikhailov-Novikov-Wang 方程的新精确解与数值解之间的比较

在本文中,我们采用通过微扰对称方法出现的 Mikhailov-Novikov-Wang 可积方程 (MNWIE) 来对可积非演化偏微分方程进行评级。该方程的新的精确孤子解在( G '/ G )-展开方法的框架下首次实现,这是以前没有实现的。同样,利用变分迭代法(VIM)建立了该方程的相应数值解。
更新日期:2021-01-20
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