We study the propagation and interaction of ion-acoustic solitary waves in a simple two-dimensional plasma by using the extended Poincaré-Lighthill--Kuo perturbation method. We consider the interaction between two ion-acoustic solitary waves with different propagation directions in such a system, and obtain two Korteweg-de Vries equations for small but finite amplitude solitary waves along both ξ and η trajectories. The effects of the ratio of ion temperature σ, the ratio of heat capacity γ and the colliding angle α on the amplitude, the width of the new nonlinear wave created by the collision between two solitary waves are studied. The effects of these parameters on both the colliding solitary waves are examined as well. It is found that all the above-mentioned parameters have significant effects on the properties of these nonlinear waves.
We study the propagation and interaction of ion-acoustic solitary waves in a simple two-dimensional plasma by using the extended Poincaré-Lighthill--Kuo perturbation method. We consider the interaction between two ion-acoustic solitary waves with different propagation directions in such a system, and obtain two Korteweg-de Vries equations for small but finite amplitude solitary waves along both ξ and η trajectories. The effects of the ratio of ion temperature σ, the ratio of heat capacity γ and the colliding angle α on the amplitude, the width of the new nonlinear wave created by the collision between two solitary waves are studied. The effects of these parameters on both the colliding solitary waves are examined as well. It is found that all the above-mentioned parameters have significant effects on the properties of these nonlinear waves.
(Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))
引用本文:
HAN Jiu-Ning;DUAN Wen-Shan;TIAN Duo-Xiang;LIANG Gui-Zhen;LI Xiao-Li;YANG Xiao-Xia. Propagation and Interaction of Ion-Acoustic Solitary Waves in a Two-Dimensional Plasma Consisting of Isothermal Electrons and Hot Ions[J]. 中国物理快报, 2008, 25(11): 4061-4064.
HAN Jiu-Ning, DUAN Wen-Shan, TIAN Duo-Xiang, LIANG Gui-Zhen, LI Xiao-Li, YANG Xiao-Xia. Propagation and Interaction of Ion-Acoustic Solitary Waves in a Two-Dimensional Plasma Consisting of Isothermal Electrons and Hot Ions. Chin. Phys. Lett., 2008, 25(11): 4061-4064.
[1] Trelles J P et al 2007 J. Phys. D: Appl. Phys. 40 5937 [2] Lu W et al 2007 J. Eur. Ceram. Soc. 27 3149 [3] Heberlein J and Murphy A B 2008 J. Phys. D: Appl. Phys. 41 No:053001 [4] Davidson R C 1972 Methods in Nonlinrar Plasma Theory (Academic: New York) [5] Chen F F 1974 Introduction to Plasma Physics (Plenum: New York) [6] Washimi H and Taniuti T 1966 Phys. Rev. Lett. 17 996 [7] Mushtaq A and Khan S A 2007 Phys. Plasmas 14 052307 [8] Han J N et al 2008 Acta Phys. Sin. 57 6068 (in Chinese) [9] Zabusky N J and Kruskal M D 1965 Phys. Rev. Lett. $ 15$ 240 [10] Gardner C S et al 1967 Phys. Rev. Lett. 19 1095 [11] Su C H and Mirie R M 1980 J. Fluid Mech. 98 509 [12] Jeffery A and Kawahawa T 1982 Asymptotic Methods in Nonlinear Wave Theory (London: Pitman) [13] Li S C et al 2007 Chin. Phys. Lett. 24 2312 [14] Yang X X et al 2008 Chin. Phys. 8 2989 [15] Han J N et al 2008 Eur. Phys. J. D 47 197 [16] Duan W S et al 2005 Phys. Plasmas 12 022106
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