Published in

Elsevier, Physica D: Nonlinear Phenomena, 5(238), p. 540-548, 2009

DOI: 10.1016/j.physd.2008.12.002

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Modulation instability: The beginning

Journal article published in 2009 by V. E. Zakharov ORCID, L. A. Ostrovsky ORCID
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

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.