Please wait a minute...
Chinese Physics, 2002, Vol. 11(11): 1184-1187    DOI: 10.1088/1009-1963/11/11/316
PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES Prev   Next  

Modulational instability of ion-acoustic waves in a warm plasma

Xue Ju-Kui (薛具奎), Duan Wen-Shan (段文山), Lang He (郎和)
Physics and Electronics Engineering College, Northwest Normal University, Lanzhou 730070, China
Abstract  Using the standard reductive perturbation technique, a nonlinear Schr?dinger equation is derived to study the modulational instability of finite-amplitude ion-acoustic waves in a non-magnetized warm plasma. It is found that the inclusion of ion temperature in the equation modifies the nature of the ion-acoustic wave stability and the soliton structures. The effects of ion plasma temperature on the modulational stability and ion-acoustic wave properties are investigated in detail.
Keywords:  reductive perturbation technique      warm plasma      ion-acoustic waves      modulational instability  
Received:  07 March 2002      Revised:  10 May 2002      Accepted manuscript online: 
PACS:  52.35.Py (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))  
  52.35.Sb (Solitons; BGK modes)  
  52.35.Fp (Electrostatic waves and oscillations (e.g., ion-acoustic waves))  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: Project supported by the "Creation of Science and Technology" Foundation of Northwest Normal University, China (Grant No NWNU-KJCXGC-215).

Cite this article: 

Xue Ju-Kui (薛具奎), Duan Wen-Shan (段文山), Lang He (郎和) Modulational instability of ion-acoustic waves in a warm plasma 2002 Chinese Physics 11 1184

[1] Modulational instability of a resonantly polariton condensate in discrete lattices
Wei Qi(漆伟), Xiao-Gang Guo(郭晓刚), Liang-Wei Dong(董亮伟), and Xiao-Fei Zhang(张晓斐). Chin. Phys. B, 2023, 32(3): 030502.
[2] Propagation and modulational instability of Rossby waves in stratified fluids
Xiao-Qian Yang(杨晓倩), En-Gui Fan(范恩贵), and Ning Zhang(张宁). Chin. Phys. B, 2022, 31(7): 070202.
[3] Propagation dynamics of relativistic electromagnetic solitary wave as well as modulational instability in plasmas
Rong-An Tang(唐荣安), Tiao-Fang Liu(刘调芳), Xue-Ren Hong(洪学仁), Ji-Ming Gao(高吉明), Rui-Jin Cheng(程瑞锦), You-Lian Zheng(郑有莲), and Ju-Kui Xue(薛具奎). Chin. Phys. B, 2021, 30(1): 015201.
[4] Dynamics of the plane and solitary waves in a Noguchi network: Effects of the nonlinear quadratic dispersion
S A T Fonkoua, M S Ngounou, G R Deffo, F B Pelap, S B Yamgoue, A Fomethe. Chin. Phys. B, 2020, 29(3): 030501.
[5] The (3+1)-dimensional generalized mKdV-ZK equation for ion-acoustic waves in quantum plasmas as well as its non-resonant multiwave solution
Xiang-Wen Cheng(程香雯), Zong-Guo Zhang(张宗国), and Hong-Wei Yang(杨红卫). Chin. Phys. B, 2020, 29(12): 124501.
[6] Gravity-capillary waves modulated by linear shear flow in arbitrary water depth
Shaofeng Li(李少峰), Jinbao Song(宋金宝), and Anzhou Cao(曹安州). Chin. Phys. B, 2020, 29(12): 124702.
[7] Discrete modulational instability and bright localized spin wave modes in easy-axis weak ferromagnetic spin chains involving the next-nearest-neighbor coupling
Jiayu Xie(谢家玉), Zhihao Deng(邓志豪), Xia Chang(昌霞), Bing Tang(唐炳). Chin. Phys. B, 2019, 28(7): 077501.
[8] Numerical simulation on modulational instability of ion-acoustic waves in plasma
Yi-Rong Ma(马艺荣), Lie-Juan Li(李烈娟), Wen-Shan Duan(段文山). Chin. Phys. B, 2019, 28(2): 025201.
[9] A nonlinear Schrödinger equation for gravity waves slowly modulated by linear shear flow
Shaofeng Li(李少峰), Juan Chen(陈娟), Anzhou Cao(曹安州), Jinbao Song(宋金宝). Chin. Phys. B, 2019, 28(12): 124701.
[10] Modulational instability, quantum breathers and two-breathers in a frustrated ferromagnetic spin lattice under an external magnetic field
Wanhan Su(苏琬涵), Jiayu Xie(谢家玉), Tianle Wu(吴天乐), Bing Tang(唐炳). Chin. Phys. B, 2018, 27(9): 097501.
[11] Analysis of Landau damping in radially inhomogeneous plasma column
H Rajabalinia-Jelodar, M K Salem, F M Aghamir, H Zakeri-Khatir. Chin. Phys. B, 2018, 27(5): 055203.
[12] Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision
S. K. El-Labany, E. F. El-Shamy, W. F. El-Taibany, N. A. Zedan. Chin. Phys. B, 2015, 24(3): 035201.
[13] Relativistic degenerate effects of electrons and positrons on modulational instability of quantum ion acoustic waves in dense plasmas with two polarity ions
Liu Tie-Lu (刘铁路), Wang Yun-Liang (王云良), Lu Yan-Zhen (路彦珍). Chin. Phys. B, 2015, 24(2): 025202.
[14] Discrete energy transport in collagen molecules
Alain Mvogo, Germain H. Ben-Bolie, Timoléon C. Kofané. Chin. Phys. B, 2014, 23(9): 098701.
[15] Parametric instabilities in single-walled carbon nanotubes
He Cai-Xia (何彩霞), Jian Yue (简粤), Qi Xiu-Ying (祁秀英), Xue Ju-Kui (薛具奎). Chin. Phys. B, 2014, 23(2): 025202.
No Suggested Reading articles found!