论文标题
爱因斯坦，$σ$ -MODEL和ERNST型方程以及非镜头GBDT版本的Darboux Transformation
Einstein, $σ$-model and Ernst-type equations and non-isospectral GBDT version of Darboux transformation
论文作者
论文摘要
我们提出了重力的Bäcklund-Darboux转换的非镜头GBDT版本和$σ$ - 模型方程。新的显式解决方案家族与具有非对角性矩阵特征值的GBDT相对应。也研究了一种有趣的集成Ernst型系统，它的辅助线性系统也是非同一规范系统。
We present a non-isospectral GBDT version of Bäcklund-Darboux transformation for the gravitational and $σ$-model equations. New families of explicit solutions correspond to the case of GBDT with non-diagonal generalized matrix eigenvalues. An interesting integrable Ernst-type system, the auxiliary linear systems of which are non-isospectral canonical systems, is studied as well.
