Modulational instability of some nonlinear continuum and discrete systems
作者:
Anca Visinescu,
D. Grecu,
期刊:
AIP Conference Proceedings
(AIP Available online 1904)
卷期:
Volume 729,
issue 1
页码: 389-395
ISSN:0094-243X
年代: 1904
DOI:10.1063/1.1814755
出版商: AIP
数据来源: AIP
摘要:
Modulational instability (also known as the Benjamin‐Feir instability) of quasi‐monochromatic waves propagating in dispersive and weakly nonlinear media is a general phenomenon encountered in hydrodynamics, plasma physics, condensed matter and is responsible for the generation of robust solitary waves (sometime solitons). The statistical approach is reviewed for several nonlinear systems: the nonlinear Schro¨dinger equation, the discrete self‐trapping equation and Ablowitz‐Ladik equation. An integral stability equation is deduced from a linearized kinetic equation for the two‐point correlation function. This is solved for several choices of the unperturbed initial spectral function. © 2004 American Institute of Physics
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