计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (24): 78-80.DOI: 10.3778/j.issn.1002-8331.2008.24.022
• 理论研究 • 上一篇 下一篇
刘玉堂1,刘玉珍2
收稿日期:
修回日期:
出版日期:
发布日期:
通讯作者:
LIU Yu-tang1,LIU Yu-zhen2
Received:
Revised:
Online:
Published:
Contact:
摘要： 首先对带有积分项的破裂孤立子方程（breaking soliton equation）进行变换，然后利用待定系数法求出它的对称，通过验证知道原方程的李群能构成李代数，再利用优化系统对原方程进行约化，求出了原方程的一些新解。
关键词: 对称, 李代数, 伴随表示, 优化系统
Abstract: In this paper we first make transform to the breaking soliton equation which has an integration term，then obtain the symmetries of the equation by using the Lie group method and verify that the corresponding vector field can constitute Lie algebra.We also get some reduced forms of the breaking soliton equation with the ad joint presentation.We obtain some new solutions of the breaking soliton equation in the end.
Key words: symmetry, lie algebra, adjoint presentation, optimal system
刘玉堂1,刘玉珍2. 对称在破裂孤立子方程中的应用[J]. 计算机工程与应用, 2008, 44(24): 78-80.
LIU Yu-tang1,LIU Yu-zhen2. Application of symmetry in breaking soliton equation[J]. Computer Engineering and Applications, 2008, 44(24): 78-80.
0 / 推荐
导出引用管理器 EndNote|Ris|BibTeX
链接本文: http://cea.ceaj.org/CN/10.3778/j.issn.1002-8331.2008.24.022
http://cea.ceaj.org/CN/Y2008/V44/I24/78
