Unified symmetry of non-holonomic singular systems

doi:10.1088/1009-1963/16/10/002

中国物理B ›› 2007, Vol. 16 ›› Issue (10): 2841-2844.doi: 10.1088/1009-1963/16/10/002

Unified symmetry of non-holonomic singular systems

李元成, 王静, 夏丽莉, 后其宝, 荆宏星

College of Physics Science and Technology, China University of Petroleum, Dongying 257061 China

出版日期:2007-10-08 发布日期:2007-10-08

Unified symmetry of non-holonomic singular systems

Li Yuan-Cheng(李元成)^†, Wang Jing(王静), Xia Li-Li (夏丽莉), Hou Qi-Bao(后其宝), and Jing Hong-Xing(荆宏星)

College of Physics Science and Technology, China University of Petroleum, Dongying 257061 China

Online:2007-10-08 Published:2007-10-08

摘要/Abstract

Abstract: In this paper, the unified symmetry of non-holonomic singular systems is studied. The differential equations of motion of the systems are given. The definition and the criterion of the unified symmetry for the systems are presented. The Noether conserved quantity the Hojman conserved quantity and the Mei conserved quantity are obtained. An example is given to illustrate the application of the results.

Key words: singular system, non-holonomic constraint, unified symmetry, conserved quantity

中图分类号: (Partial differential equations)

02.30.Jr

李元成, 王静, 夏丽莉, 后其宝, 荆宏星. Unified symmetry of non-holonomic singular systems[J]. 中国物理B, 2007, 16(10): 2841-2844.

Li Yuan-Cheng(李元成), Wang Jing(王静), Xia Li-Li (夏丽莉), Hou Qi-Bao(后其宝), and Jing Hong-Xing(荆宏星). Unified symmetry of non-holonomic singular systems[J]. Chinese Physics, 2007, 16(10): 2841-2844.

参考文献

Metrics

Viewed

Full text

HTML			PDF

最新录用	在线预览	正式出版	最新录用	在线预览	正式出版
0	0	0	0	0	32

Abstract

Cited

Shared

[1]	Ming-Jing Du(杜明婧), Bao-Jun Sun(孙宝军), and Ge Kai(凯歌). Adaptive multi-step piecewise interpolation reproducing kernel method for solving the nonlinear time-fractional partial differential equation arising from financial economics[J]. 中国物理B, 2023, 32(3): 30202-030202.
[2]	Yiyuan Zhang(张艺源), Ziqi Liu(刘子琪), Jiaxin Qi(齐家馨), and Hongli An(安红利). Soliton molecules, T-breather molecules and some interaction solutions in the (2+1)-dimensional generalized KDKK equation[J]. 中国物理B, 2023, 32(3): 30505-030505.
[3]	Jing Yue(岳靖), Jian Li(李剑), Wen Zhang(张文), and Zhangxin Chen(陈掌星). The coupled deep neural networks for coupling of the Stokes and Darcy-Forchheimer problems[J]. 中国物理B, 2023, 32(1): 10201-010201.
[4]	Liang'an Huo(霍良安) and Xiaomin Chen(陈晓敏). Dynamical behavior and optimal impulse control analysis of a stochastic rumor spreading model[J]. 中国物理B, 2022, 31(11): 110204-110204.
[5]	Jing Wang(王静), Xue-Li Ding(丁学利), and Biao Li(李彪). Fusionable and fissionable waves of (2+1)-dimensional shallow water wave equation[J]. 中国物理B, 2022, 31(10): 100502-100502.
[6]	Xiao-Qian Yang(杨晓倩), En-Gui Fan(范恩贵), and Ning Zhang(张宁). Propagation and modulational instability of Rossby waves in stratified fluids[J]. 中国物理B, 2022, 31(7): 70202-070202.
[7]	Xi-zhong Liu(刘希忠) and Jun Yu(俞军). A nonlocal Boussinesq equation: Multiple-soliton solutions and symmetry analysis[J]. 中国物理B, 2022, 31(5): 50201-050201.
[8]	Liang'an Huo(霍良安) and Yafang Dong(董雅芳). Dynamics and near-optimal control in a stochastic rumor propagation model incorporating media coverage and Lévy noise[J]. 中国物理B, 2022, 31(3): 30202-030202.
[9]	Yarong Xia(夏亚荣), Ruoxia Yao(姚若侠), and Xiangpeng Xin(辛祥鹏). Darboux transformation and soliton solutions of a nonlocal Hirota equation[J]. 中国物理B, 2022, 31(2): 20401-020401.
[10]	Geng Zhang(张埂) and Da-Dong Tian(田大东). Stability analysis of multiple-lattice self-anticipative density integration effect based on lattice hydrodynamic model in V2V environment[J]. 中国物理B, 2021, 30(12): 120201-120201.
[11]	Ru-Qi Li(李汝琦), Yu-Rong Song(宋玉蓉), and Guo-Ping Jiang(蒋国平). Prediction of epidemics dynamics on networks with partial differential equations: A case study for COVID-19 in China[J]. 中国物理B, 2021, 30(12): 120202-120202.
[12]	Liang'an Huo(霍良安) and Xiaomin Chen(陈晓敏). Near-optimal control of a stochastic rumor spreading model with Holling II functional response function and imprecise parameters[J]. 中国物理B, 2021, 30(12): 120205-120205.
[13]	Ying Yang(杨颖), Yu-Xiao Gao(高玉晓), and Hong-Wei Yang(杨红卫). Analysis of the rogue waves in the blood based on the high-order NLS equations with variable coefficients[J]. 中国物理B, 2021, 30(11): 110202-110202.
[14]	Ping Liu(刘萍), Bing Huang(黄兵), Bo Ren(任博), and Jian-Rong Yang(杨建荣). Consistent Riccati expansion solvability, symmetries, and analytic solutions of a forced variable-coefficient extended Korteveg-de Vries equation in fluid dynamics of internal solitary waves[J]. 中国物理B, 2021, 30(8): 80203-080203.
[15]	Liang-An Huo(霍良安), Ya-Fang Dong(董雅芳), and Ting-Ting Lin(林婷婷). Dynamics of a stochastic rumor propagation model incorporating media coverage and driven by Lévy noise[J]. 中国物理B, 2021, 30(8): 80201-080201.

Unified symmetry of non-holonomic singular systems

Unified symmetry of non-holonomic singular systems

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0