Application of symmetry in breaking soliton equation

doi:10.3778/j.issn.1002-8331.2008.24.022

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (24): 78-80.DOI: 10.3778/j.issn.1002-8331.2008.24.022

• 理论研究 • Previous Articles Next Articles

Application of symmetry in breaking soliton equation

LIU Yu-tang¹,LIU Yu-zhen²

1.School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China
2.College of Information Engineering，Xiangtan University，Xiangtan，Hunan 411105，China

Received:2007-10-25 Revised:2008-01-02 Online:2008-08-21 Published:2008-08-21
Contact: LIU Yu-tang

对称在破裂孤立子方程中的应用

刘玉堂¹,刘玉珍²

1.聊城大学数学科学学院，山东聊城 252059
2.湘潭大学信息工程学院，湖南湘潭 411105

通讯作者: 刘玉堂

Abstract

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

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

LIU Yu-tang¹,LIU Yu-zhen². Application of symmetry in breaking soliton equation[J]. Computer Engineering and Applications, 2008, 44(24): 78-80.

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.

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Application of symmetry in breaking soliton equation

对称在破裂孤立子方程中的应用

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