1) zero-curvature equation
零曲率方程
1.
Two types of isospectral problems were constructed and their corresponding generalized zero-curvature equations were given.
构造两类等谱问题,给出其对应的广义零曲率方程。
2) zero curvature equation
零曲率方程
1.
Orphans equation {u_t=-3uu_x-2v_x v_t=(1/2)u_(xxx)-2u_xv-uv_x derived from the zero curvature equation;
由零曲率方程推导孤子方程{u_t=-3uu_x-2v_x v_t=(1/2)u_(xxx)-2u_xv-uv_x
2.
zero curvature equation,equivalently derive GI hierarchy.
利用loop代数A1的一个子代数,设计了两个等谱问题,利用其相容性条件,即零曲率方程,等价地导出了GI方程族。
3.
By employing the compatibility of a generalized isospectral problem,a generalized zero curvature equation is obtained.
利用一个广义等谱问题的相容性得到了一个广义零曲率方程。
3) discrete zero curvature equation
离散零曲率方程
1.
Using the discrete zero curvature equations,the discrete differential-difference equation is deduced,and corresponding nonlinear system of discrete and integrable is validated.
基于一个离散等谱问题,构建了一族离散可积耦合,利用离散零曲率方程,导出了相应离散的非线性微分-差分方程,进而确定了其相应的Lax可积的离散非线性系统。
5) curvature equation
曲率方程
1.
This paper derives the curvature equations of geometric mid axis of an perfectly elastic plastic rectangle section beam for three states: elastic, single side plastic and both side plastic.
推导了理想弹塑性矩形横截面梁 ,在轴力和弯矩联合作用下 ,几何中轴在完全弹性状态、单侧塑性状态及双侧塑性状态下的曲率方程 ,并将其应用于悬臂梁的变形及各极限载荷分析 ,从而为确定梁截面上任意点的位移提供了方
6) null hypersurface equation
零超曲面方程
1.
Its horizons are given by the null hypersurface equation.
动态Kinnersley黑洞是变加速直线运动的黑洞,此黑洞的视界由零超曲面方程确定,通过对零超曲面方程及其解的研究,讨论了变加速直线运动黑洞视界的几种情况,给出了动态Kinnersley黑洞的内视界、外视界及宇宙视界的位置。
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