1) zero curvature
零曲率
2) 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。
3) space of zero curvature
零曲率空间
4) 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。
5) zero curvature representation
零曲率表示
1.
Their integrabilities, such as zero curvature representations and bi-Hamiltonian structures are established.
证明了这些系统也具有零曲率表示和双Hamilton结构。
2.
Directly starting from the spectral problemψx=U(u,λ)ψ and with help of functional gradient,the zero curvature representation for two hierarchies of nonlinear evolution equations are constructed.
利用泛函梯度,从一般的谱问题ψx=U(u,λ)ψ出发,通过直接计算,得到了两族非线性演化方程的零曲率表示。
6) 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。
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