无碰撞低β磁流管中的非线性波

THEORETICAL STUDY ON THE NONLINEAR WAVES IN A LOW-β CYLINDRICAL SYMMETRY MAGNETIC TUBE

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,存在着非线性周期波;(2)若存在着隆起和下凹的孤立波,也存在着激波;(3)若,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。

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, M is 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.