scholarly journals Energy Method on Dynamic Buckling of Elastic Bar with Clamped-Free boundary Condition subjected to Impact of Rigid Mass

2020 ◽  
Vol 474 ◽  
pp. 072040
Author(s):  
Chaoyuan Zhi ◽  
Zhijun Han
Keyword(s):  
Boundary Condition ◽  
Free Boundary ◽  
Energy Method ◽  
Dynamic Buckling ◽  
Free Boundary Condition ◽  
Elastic Bar ◽  
Rigid Mass

scholarly journals SUPERSYMMETRIC WZW σ MODEL ON INFINITE AND HALF-PLANE

2005 ◽  
Vol 20 (13) ◽  
pp. 2763-2772
Author(s):  
R. A. ZAIT ◽  
M. F. MOURAD
Keyword(s):  
Boundary Condition ◽  
Free Boundary ◽  
Half Plane ◽  
Infinite Number ◽  
Equations Of Motion ◽  
Free Boundary Condition ◽  
Infinite Plane ◽  
Recursion Relations ◽  
Conserved Currents

We study classical integrability of the supersymmetric U(N) σ model with the Wess–Zumino–Witten term on infinite and half-plane. We demonstrate the existence of nonlocal conserved currents of the model and derive general recursion relations for the infinite number of the corresponding charges in a superfield framework. The explicit forms of the first few supersymmetric charges are constructed. We show that the considered model is integrable on infinite plane as a consequence of the conservation of the supersymmetric charges. Also, we study the model on half-plane with free boundary, and examine the conservation of the supersymmetric charges on half-plane and find that they are conserved as a result of the equations of motion and the free boundary condition. As a result, the model on half-plane with free boundary is integrable. Finally, we conclude the paper and some features and comments are presented.

scholarly journals DIFFERENCE EQUATIONS FOR THE HIGHER RANK XXZ MODEL WITH A BOUNDARY

2000 ◽  
Vol 15 (23) ◽  
pp. 3699-3716
Author(s):  
TAKEO KOJIMA ◽  
YAS-HIRO QUANO
Keyword(s):  
Boundary Condition ◽  
Free Boundary ◽  
Difference Equations ◽  
Vertex Operator ◽  
Infinite Product ◽  
Free Boundary Condition ◽  
Operator Approach ◽  
Xxz Model ◽  
Higher Rank

The higher rank analog of the XXZ model with a boundary is considered on the basis of the vertex operator approach. We derive difference equations of the quantum Knizhnik–Zamolodchikov type for 2N-point correlations of the model. We present infinite product formulae of two point functions with free boundary condition by solving those difference equations with N=1.

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