稳态轴对称引力真空场的二重Backlund变换  

Dual Backlund Transformations in Gravitational Vacuum Field under Steady Axial Symmetry

作　　者：仲海洋[1] 于清龙[1] 厉红 

机构地区：[1]大连大学物理系,大连116622

出　　处：《大连大学学报》1997年第2期122-124,共3页Journal of Dalian University

摘　　要：利用推广形式的二重复Ernst方程的已知种子解,通过一种Bācklund变换来获得新解,从稳态轴对称引力真空场的二重复Ernst方程出发,通过定义新坐标x_1=P+JZ,x_2=P-J_2得到一种推广形式的二重复Ernst方程,并通过对其种子解进行Ⅰ变换。从而得到一种新形式的Bcklund变换来生成Ernst方程的新解,此Ⅰ变换满足群性质.A New solution is obtained through unknown seed solutions of popularized dual compound Ernst equation and a Backlund transformation. From dual compound Ernst equation of gravitational vacuum field of symmetry, a new coordinate X1 = P + JZ, X2 = P - J is defined, thus obtaining a popularized dual compound Ernst equation. By earring out transformation of I for its seed solution, a new Backlund transformation is gained to generate a new equation of Ernst equation. The transformation of I can satisfy group nature.

关 键 词：二重复方法 二重复Ernst方程 二重复Backlund变换 

分 类 号：O412.1[理学—理论物理]