REDUCED FORM AND EIGENMODE SOLUTION OF GENERALIZED MHD EQUATIONS IN A CYLINDRICAL PLASMA

YANG WEI-HONG; HU XI-WEI

doi:10.7498/aps.41.910

Abstract
In this paper, the reduced form (four differential equations of the first order) of generalized MHD equations is obtained, only some approximations satisfied by the experimental condition of heating tokamak plasma are used. An analytical dispersion relation (eigenmode solution) for a homogeneous plasma cylinder is obtained. It is shown that Appert's theory is a limiting case of our theory.
Authors and contacts
YANG WEI-HONG,

HU XI-WEI

1.
中国科学技术大学近代物理系,合肥230026
References

Cited By

[1]	Hu Liang, Luo Mao-Kang. Traveling wave solutions of the cylindrical nonlinear Maxwell's equations. Acta Physica Sinica, 2017, 66(13): 130302. doi: 10.7498/aps.66.130302
[2]	Yuan Xiao-Xia, Zhong Jia-Yong. Simulations for two colliding plasma bubbles embedded into an external magnetic field. Acta Physica Sinica, 2017, 66(7): 075202. doi: 10.7498/aps.66.075202
[3]	Zhao Xiao-Ming, Sun Qi-Zhi, Fang Dong-Fan, Jia Yue-Song, Liu Zheng-Fen, Sun Cheng-Wei. Numerical solutions of Grad-Shafranov equation in a field-reversed configuration. Acta Physica Sinica, 2016, 65(18): 185201. doi: 10.7498/aps.65.185201
[4]	Yang Zheng-Quan, Li Cheng, Lei Yi-An. Magnetohydrodynamic simulation of conical plasma compression. Acta Physica Sinica, 2016, 65(20): 205201. doi: 10.7498/aps.65.205201
[5]	Liu Yong, Liu Xi-Qiang. Exact solutions of Whitham-Broer-Kaup equations with variable coefficients. Acta Physica Sinica, 2014, 63(20): 200203. doi: 10.7498/aps.63.200203
[6]	Yin Jun-Yi. Extended expansion method for (G/G) and new exact solutions of Zakharov equations. Acta Physica Sinica, 2013, 62(20): 200202. doi: 10.7498/aps.62.200202
[7]	Li Ning, Liu Xi-Qiang. Symmetries, reductions and exact solutions of Broer-Kau-Kupershmidt system. Acta Physica Sinica, 2013, 62(16): 160203. doi: 10.7498/aps.62.160203
[8]	Zhu Qian, Shang Xue-Li, Chen Wen-Zhen. Homotopy analysis solution of point reactor kinetics equations with six-group delayed neutrons. Acta Physica Sinica, 2012, 61(7): 070201. doi: 10.7498/aps.61.070201
[9]	Cao Xiao-Qun, Song Jun-Qiang, Zhang Wei-Min, Zhu Xiao-Qian, Zhao Jun. Generalized variational principles for Boussinesq equation systems. Acta Physica Sinica, 2011, 60(8): 080401. doi: 10.7498/aps.60.080401
[10]	Gao Bin, Liu Shi-Da, Liu Shi-Kuo. Envelope periodic and solitary solutions of Davey-Stewartson equation. Acta Physica Sinica, 2009, 58(4): 2155-2158. doi: 10.7498/aps.58.2155
[11]	Wu Guo-Jiang, Zhang Miao, Shi Liang-Ma, Zhang Wen-Liang, Han Jia-Hua. The extended expansion method for Jacobi elliptic function and new exact periodic solutions of Zakharov equations. Acta Physica Sinica, 2007, 56(9): 5054-5059. doi: 10.7498/aps.56.5054
[12]	Taogetusang, Sirendaoreji. New type of exact solitary wave solutions for dispersive long-wave equation and Benjamin equation. Acta Physica Sinica, 2006, 55(7): 3246-3254. doi: 10.7498/aps.55.3246
[13]	Wang Yue-Yue, Yang Qin, Dai Chao-Qing, Zhang Jie-Fang. Solitary wave solution of Zakharov equation with quantum effect. Acta Physica Sinica, 2006, 55(3): 1029-1034. doi: 10.7498/aps.55.1029
[14]	Li Hua-Mie, Lin Ji, Xu You-Sheng. Multiple travelling wave solutions of two newly generalized Ito systems. Acta Physica Sinica, 2004, 53(2): 349-355. doi: 10.7498/aps.53.349
[15]	YAN ZHEN-YA, ZHANG HONG-QING. EXPLICIT EXACT SOLUTIONS FOR NONLINEAR APPROXIMATE EQUATIONS WITH LONG WAVES IN SHALLOW WATER. Acta Physica Sinica, 1999, 48(11): 1962-1968. doi: 10.7498/aps.48.1962
[16]	YANG WEI-HONG, HU XI-WEI. MAGNETOHYDRODYNAMICS WAVES IN A NONHOMEG-ENEOUS CURRENT-CARRYING CYLINDRICAL PLASMA. Acta Physica Sinica, 1996, 45(4): 595-600. doi: 10.7498/aps.45.595
[17]	KUANG GUANG-LI, G.WAIDMANN. THE PROPERTIES OF THE MHD OSCILLATIONS IN TEXTOR TOKAMAK PLASMAS. Acta Physica Sinica, 1994, 43(9): 1466-1475. doi: 10.7498/aps.43.1466
[18]	LIN REN-MING. THE INTERACTION OF ELECTROMAGNETIC FIELD WITH PLASMA AND GENERALIZED SQUEEZED COHERENT STATES. Acta Physica Sinica, 1989, 38(11): 1826-1832. doi: 10.7498/aps.38.1826
[19]	LU QUAN-KANG. PAIR CORRELATION FUNCTIONS AND EQUATIONS OF STATE OF DENSE MULTI-COMPONENT PLASMAS. Acta Physica Sinica, 1982, 31(6): 847-853. doi: 10.7498/aps.31.847
[20]	QING CHENG-RUI, ZHOU YU-MEI. THE FREE BOUNDARY SOLUTION TO THE EQUATION OF PLASMA MAGNETOHYDRODYNAMIC EQUILIBRIUM WITH AXISYMMETRY AND NON-CIRCULAR CROSS-SECTION. Acta Physica Sinica, 1980, 29(1): 106-110. doi: 10.7498/aps.29.106

Catalog

Vol. 41, Issue 6 - 1992-03-20

Metrics

Abstract views: 7692
PDF Downloads: 685
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

REDUCED FORM AND EIGENMODE SOLUTION OF GENERALIZED MHD EQUATIONS IN A CYLINDRICAL PLASMA

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

REDUCED FORM AND EIGENMODE SOLUTION OF GENERALIZED MHD EQUATIONS IN A CYLINDRICAL PLASMA

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About