排序方式: 共有41条查询结果,搜索用时 15 毫秒
1.
Ansatz method and the theory of dynamical systems are used to study the traveling wave solutions for the generalized Drinfeld-Sokolov equations. Under two groups of the parametric conditions, more solitary wave solutions, kink and anti-kink wave solutions and periodic wave solutions are obtained. Exact explicit parametric representations of these travelling wave solutions are given. 相似文献
2.
Let K be a knot in a 3-sphere S^3 and N( K ) be a regular neighbourhood of K in S^3. Let Mk = S^3 - intN (K), and T = э Mk. A slope r in T is a T-isotopy class of essential, unoriented, simple, closed curves in T. The distance between two slopes r1 and r2 in T, 相似文献
3.
对于桥教最多为3的纽结,证明了Gordon的L(3,1)猜测,即如果K是三维球面中桥数不超过3的非平凡纽结,那么K上的Dehn手术不能产生透镜空间L(3,1). 相似文献
4.
A partial order on the set of the prime knots can be defined by the existence of a surjective homomorphism between knot groups. In the previous paper, we determined the partial order in the knot table. In this paper, we prove that 31 and 41 are minimal elements. Further, we study which surjection a pair of a periodic knot and its quotient knot induces, and which surjection a degree one map can induce. 相似文献
5.
2-邻近纽结的Conway多项式 总被引:1,自引:0,他引:1
陶志雄 《浙江大学学报(理学版)》2005,32(1):17-20
通过构造各种不同的2-邻近纽结以及对Conway多项式、Jones多项式的讨论,证明了有无限多的2-邻近(adjacent)纽结有相同的Conway多项式;也有无限多的2-邻近纽结有互不相同的Conway多项式.同时还给出了一些构造2-邻近纽结的一般方法. 相似文献
6.
陶志雄 《浙江大学学报(理学版)》2020,47(3):312-314
基于纽结理论,利用Torus纽结 T (m , n )(m ,n 须为互素)及Jones多项式和Alexander多项式在二阶导数下的性质,证明了( m 2 - 1 ) ( n 2 - 1 ) ![]()
![]()
,( m - 1 ) ( n - 1 ) ( 2 m n - m - n - 1 ) ![]()
![]()
可分别被24与12整除。 相似文献
7.
一般化了DNA重组的缠绕模型的缠绕方程的求解方法, 同时利用有理缠绕和二桥纽结
的关系给出了某些缠绕方程的解. 相似文献
8.
Whitney’s 2-switching theorem states that any two embeddings of a 2-connected planar graph in S 2 can be connected via a sequence of simple operations, named 2-switching. In this paper, we obtain two operations on planar graphs from the view point of knot theory, which we will term “twisting” and “2-switching” respectively. With the twisting operation, we give a pure geometrical proof of Whitney’s 2-switching theorem. As an application, we obtain some relationships between two knots which correspond to the same signed planar graph. Besides, we also give a necessary and sufficient condition to test whether a pair of reduced alternating diagrams are mutants of each other by their signed planar graphs. 相似文献
9.
An H(2)-move is a local move of a knot which is performed by adding a half-twisted band. It is known an H(2)-move is an unknotting operation. We define the H(2)-unknotting number of a knot K to be the minimum number of H(2)-moves needed to transform K into a trivial knot. We give several methods to estimate the H(2)-unknotting number of a knot. Then we give tables of H(2)-unknotting numbers of knots with up to 9 crossings. 相似文献
10.