查询词典 Lenard

By choosing the special values of parameters in the hierarchy, the hierarchies of the general TD, TD, the general C-KdV and C-KdV can be obtained. In order to investigate the Hamiltonian structure of this soliton hierarchy, a new Lenard gradient sequence {Gj} and its corresponding 2×2 Lenard pair of operators are introduced.

对该方程族中的参数取不同的值，可得到广义TD族，TD族，广义C-KdV族和C-KdV族；为研究其Hamilton结构，通过定义新的Lenard递推序列{G_j}得到了该等谱方程族的2×2 Lenard算子对

With the help of nonlinearization approach, the Lenard spectral problem related to the DNLS hierarchy is turned into a completely integrable Hamiltonian system with a Lie-Poisson structure on the Poisson manifold

通过非线性化方法，证明了与DNLS孤子族相联系的Lenard特征值问题在具有Lie-Poisson结构的Poisson流形C~N×R~N上是完全可积的Hamilton系统。

It thus became possible to study the cathode rays, and also the fluorescence they caused, outside the discharge tube and Lenard concluded from the experiments that he then did that the cathode rays were propagated through the air for distances of the order of a decimetre and that they travel in a vacuum for several metres without being weakened.

但是后来，1892年他在波恩大学做赫兹的助手时，赫兹让他观察了他的新发现，赫兹将一片盖上铝箔的含铀玻璃片放入放电管，当用阴极射线轰击铝箔时，铝箔下面发出了亮光。

A 2×2 matrix differential Lenard operator is extended to a 3×3 oneand the soliton hierarchy with their Lax pairs are deduced easily.

并使孤立子方程谱问题的伴随表示与Lenard算子对有机的连系在一起。

Further, with the help of Riccati equations, an infinite number of conservation laws for the solton hierarchy are deduced. For the sake of simplicity, taking the general TD hierarchy as an illustrative example, we prove that its 2×2 Lenard pair of operators forms a Hamiltonian pair. Thus the isospectral evolution TD hierarchy is the general Hamiltonian system and possesses the Bi-Hamiltonian structures and Multi-Hamiltonian structures. By using the method of derivation of functional under some constraint condition, a complete one-to-one correspondence between the Hamiltonian functions of the hierarchy and its conservation density functions can be built. These results can also be applied to the isospectral evolution soliton hierarchy of this paper. Finally, there's a gauge transformation between the spectral problem of this paper and the AKNS system. Moreover, the potentials in these spectral problems satisfy the general Miura transformation, the corresponding relationship between the two soliton hierarchies is also given.

进一步本文还通过特征函数的组合关系所满足的Riccati方程，得到了该等谱方程族的无穷多个守恒律；为简便起见，本文以广义TD族为例，由它的2×2 Lenard算子对的性质证明了此算子对为Hamilton算子对，这说明广义TD族是广义Hamilton系统且具有Bi-Hamilton结构和Multi-Hamilton结构；进而利用它的依赖于谱参数的一般守恒密度的积分在约束条件下求泛函导数的方法，得到了广义TD族的Hamilton函数与守恒密度之间的对应关系，这些性质对于由本文提出的2×2谱问题所导出的等谱孤子族仍成立；另外此谱问题与AKNS系统存在着规范变换，位势之间有广义Miura变换，而孤子方程之间也满足一定的等价关系。

P.E.A.Lenard, a German physical scientist who won the Nobel Price in Physics in 1905, became a persistent follower of Hitler and murder of thousands of Jewish people by producing some poisonous chemicals.

双胞胎词汇：a blessing and a curse 的出现为文章锦上添花，孤独的名词前面用丰富的形容词进行温暖使得句式更加丰满充实。

Through monitoring at Wuying National Forest Park in Yichun,the authors find that the result of Lenard effect is the most notable in all generable mechanisms of NAI.

通过对伊春五营国家森林公园负离子浓度的监测发现，在空气负离子产生的各项机理中，勒纳尔效应的效果是最显著的。

Von Lenard, who was married to Katharina Schlehner, died on May 20, 1947 at Messelhausen.

而作为回报，纳粹党将莱纳德作为雅利安或德国物理学的领袖，纳粹在物理学界的代理人。

It was this sacrifice that made Virginia think that she stole Lenard's life.

就是这样子的牺牲令Virginia感觉自己绑架了Lenard的生命。

He carefully constructed a black cardboard covering similar to the one he had used on the Lenard tube.

他精心构筑的黑色纸板包括一个类似于他使用的莱纳德管。

The quality of both red and white wine depends very much on the wine maker talent and on the quality of the grapes.

他的红酒和白酒的品质，根据酿造者的能力和葡萄的质量，各有差异。

No, I don't want to get drunk before my next match.

" "不，我不想让我的下一场比赛前喝醉了。