THEORETICAL STUDY ON THE NONLINEAR WAVES IN A LOW-β CYLINDRICAL SYMMETRY MAGNETIC TUBE
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摘要: 对无碰撞低β磁流管中柱对称状态下等离子体非线性静电波的存在进行了研究, 其结果表明: (1)若参数满足0<|(a/M2-1)E0|<1, 存在着非线性周期波;(2)若|(a/M2-1)E0|=1, 存在着隆起和下凹的孤立波, 也存在着激波;(3)若|(a/M2-1)E0|>1, 存在着周期波, 也存在着隆起的孤立波。还对波的某些特性进行了研究。Abstract: The nonlinear plasma density waves in a low-β cylindrical symmetry magnetic tube are discussed. The results show that: (1) if |(a/M2-1)E0| < 1 or a/M2> l, |(a/M2-1)E0| > 1 and Gm > 1 + |(a/M2-1)E0|, there exist periodic waves; (where a = Ti/Te+ 1, Ti and 7% are the ion and electron thermal energies respectively, Mis the ratio of phase velocity of wave and ion acoustic velocity, E0 isinitial electrical field, (Gm=√a/M2exp(1-a/M2)/(2a/M2)). (2) if |(a/M2-1)E0| = 1 and Gm≤2, there exist shock waves; (3) if a/M2 > 1, | (a/M2-1)E0| = 1 and Gm>2, there exist hollow solitons; (4) if a/M2< 1, |(a/M2-1)E0|≥1 and Gm> 1 + |(a/M2-1)E0| or |(a/M2-1)E0| > 1 and Gm≤ 1+|(a/M2-l)E0|, there exist raised solitons. The amplitude of waves is discussed also.
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Key words:
- Magnetohydrodynamics /
- Nonlinear wave
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