Volume 13 Issue 2
Apr.  1993
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Shi Jian-kui. THEORETICAL STUDY ON THE NONLINEAR WAVES IN A LOW-β CYLINDRICAL SYMMETRY MAGNETIC TUBE[J]. Chinese Journal of Space Science, 1993, 13(2): 98-106. doi: 10.11728/cjss1993.02.098
Citation: Shi Jian-kui. THEORETICAL STUDY ON THE NONLINEAR WAVES IN A LOW-β CYLINDRICAL SYMMETRY MAGNETIC TUBE[J]. Chinese Journal of Space Science, 1993, 13(2): 98-106. doi: 10.11728/cjss1993.02.098

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

doi: 10.11728/cjss1993.02.098
  • Received Date: 1992-01-08
  • Rev Recd Date: 1900-01-01
  • Publish Date: 1993-04-24
  • 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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