七阶Caudrey-Dodd- Gibbon方程的Lie对称性分析

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-10-18 DOI:10.46298/cm.10102

Hariom Sharma, Rajan Arora

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引用次数: 0

摘要

本文用李对称分析方法求解了七阶Caudrey-Dodd-Gibbon (CDG)方程。给出了七阶KdV方程的所有几何向量场。利用李变换将七阶CDG方程化为常微分方程。用幂级数法求解这些微分方程，得到精确解。讨论了幂级数的收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Lie Symmetry Analysis of Seventh Order Caudrey-Dodd- Gibbon Equation

In the present paper, seventh order Caudrey-Dodd-Gibbon (CDG) equation is solved by Lie symmetry analysis. All the geometry vector fields of seventh order KdV equations are presented. Using Lie transformation seventh order CDG equation is reduced into ordinary differential equations. These ODEs are solved by power series method to obtain exact solution. The convergence of the power series is also discussed.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.