Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 238, Issue 5, Pages 540-548Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2008.12.002
Keywords
Instability; BFL criterion; Nonlinear Schrodinger equation; Envelope waves; Active systems
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We discuss the early history of an important field of sturm and drang in modern theory of nonlinear waves. It is demonstrated how scientific demand resulted in independent and almost simultaneous publications by many different authors on modulation instability, a phenomenon resulting in a variety of nonlinear processes such as envelope solitons, envelope shocks, freak waves, etc. Examples from water wave hydrodynamics, electrodynamics, nonlinear optics, and convection theory are given. (C) 2008 Elsevier B.V. All rights reserved.
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