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变系数mKdV方程的对称群分类

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Indexed by:期刊论文

Date of Publication:2009-01-01

Journal:华东理工大学学报. 自然科学版

Included Journals:Scopus、PKU、ISTIC、CSCD

Volume:35

Issue:6

Page Number:947-951

ISSN No.:1006-3080

Key Words:变系数mKdV方程; 群分类; 古典无穷小算法; 等价群; 抽象李代数

Abstract:利用古典无穷小算法,等价性变换技巧和有限维抽象李代数的分类理论给出了变系数mKdV方程的对称群分类.证明了在一维和二维可解李代数情况下不变的方程
   分别为4个和6个.并进一步证明了不存在容许有三维及更高维李代数下不变的方程.

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