Model equations for mode coupling saturation in unstable plasmas
作者:
Edward Ott,
Wallace M. Manheimer,
David L. Book,
Jay P. Boris,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1973)
卷期:
Volume 16,
issue 6
页码: 855-862
ISSN:0031-9171
年代: 1973
DOI:10.1063/1.1694437
出版商: AIP
数据来源: AIP
摘要:
Some simple one‐dimensional model equations for instability saturation by resonant mode coupling which are of the general form∂u/∂t; + &sgr;1 u ∂u/∂x + M[u] = O, whereM[u] = i/2&pgr;∫ d k &ohgr;(k)∫ d x ′ u(x ) exp [k(x − x′)]are examined theoretically and numerically. For nondispersive&ohgr;(k), it is found the temporal evolution is characterized by the formation and merging of shocks. Also, the level of saturation can depend on the physical size of the unstable system. If disperisive effects are strong, the solution is characterized by the formation of solitons.
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