group theoretical method
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2014 ◽  
Vol 16 (3) ◽  
pp. 033034 ◽  
Author(s):  
Huaqing Huang ◽  
Fawei Zheng ◽  
Ping Zhang ◽  
Jian Wu ◽  
Bing-Lin Gu ◽  
...  

2013 ◽  
Vol 5 (2) ◽  
pp. 212-221
Author(s):  
Houguo Li ◽  
Kefu Huang

AbstractInvariant solutions of two-dimensional elastodynamics in linear homogeneous isotropic materials are considered via the group theoretical method. The second order partial differential equations of elastodynamics are reduced to ordinary differential equations under the infinitesimal operators. Three invariant solutions are constructed. Their graphical figures are presented and physical meanings are elucidated in some cases.


2009 ◽  
Vol 18 (07) ◽  
pp. 957-972 ◽  
Author(s):  
J. SCOTT CARTER ◽  
DANIEL S. SILVER ◽  
SUSAN G. WILLIAMS ◽  
MOHAMED ELHAMDADI ◽  
MASAHICO SAITO

A group-theoretical method, via Wada's representations, is presented to distinguish Kishino's virtual knot from the unknot. Biquandles are constructed for any group using Wada's braid group representations. Cocycle invariants for these biquandles are studied. These invariants are applied to show the non-existence of Alexander numberings and checkerboard colorings.


2006 ◽  
Vol 15 (9) ◽  
pp. 2065-2079 ◽  
Author(s):  
Gong Ping ◽  
Hu Cheng-Zheng ◽  
Zhou Xiang ◽  
Wang Ai-Jun ◽  
Miao Ling

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