当前位置: X-MOL 学术J. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg–de Vries Equation
Journal of Mathematics ( IF 1.4 ) Pub Date : 2021-06-22 , DOI: 10.1155/2021/7710333
Tahir Ayaz 1 , Farhad Ali 1 , Wali Khan Mashwani 1 , Israr Ali Khan 1 , Zabidin Salleh 2 , Ikramullah 3
Affiliation  

The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which models and governs the evolution of fixed wave structures. This paper presents the analysis of the approximate symmetries along with conservation laws corresponding to the perturbed KdV equation for different classes of the perturbed function. Partial Lagrange method is used to obtain the approximate symmetries and their corresponding conservation laws of the KdV equation. The purpose of this study is to find particular perturbation (function) for which the number of approximate symmetries of perturbed KdV equation is greater than the number of symmetries of KdV equation so that explore something hidden in the system.

中文翻译:

对应于微扰 Korteweg-de Vries 方程的近似对称性分析和守恒定律

Korteweg-de Vries (KdV) 方程是一个弱非线性三阶微分方程,用于模拟和控制固定波结构的演化。本文介绍了对不同类别扰动函数的扰动 KdV 方程对应的近似对称性和守恒定律的分析。偏拉格朗日方法用于获得KdV方程的近似对称性及其对应的守恒定律。本研究的目的是寻找被摄动 KdV 方程的近似对称数大于 KdV 方程的对称数的特定摄动(函数),从而探索系统中隐藏的某些东西。
更新日期:2021-06-22
down
wechat
bug