NONLINEAR BEHAVIOR OF TEARING MODES NEAR THRESHOLD | Zendy

GUO SHI-CHONG | Zendy; CAI SHI-DONG | Zendy

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NONLINEAR BEHAVIOR OF TEARING MODES NEAR THRESHOLD

Author(s) -

GUO SHI-CHONG,

CAI SHI-DONG

Publication year - 1984

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.33.861

Subject(s) - tearing , nonlinear system , physics , dimensionless quantity , classification of discontinuities , resistive touchscreen , logarithm , amplitude , bifurcation , mathematical analysis , pinch , mechanics , classical mechanics , quantum mechanics , mathematics , thermodynamics , electrical engineering , engineering

The nonlinear evolution equation of the resistive m≥2 tearing modes near their linear thresholds is derived as ?-Q2A+K/2A2à-Q2(δ△1e)/(△1e)A3=0 where the quasilinear approximation has been used; A is the mode amplitude; Q and K are the dimensionless linear growth rate and wave vector; △e and δ△1e are the linear and nonlinear discontinuities of the logarithmic derivatives. The nonlinear time evolutions of the modes are discussed in detail. No bifurcation solution exists for a symmetrical sheet pinch model.

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