Publication: Nonlinear wave propagation in disordered media
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ISSN: 0217-9792 (print version)
ISSN: 1793-6578 (online version)
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1991-11-10
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World Scientific Publishing
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Abstract
We briefly review the state-of-the-art of research on nonlinear wave propagation in
disordered media. The paper is intended to provide the non-specialist reader with a flavor
of this active field of physics. Firstly, a general introduction to the subject is made. We
describe the basic models and the ways to study disorder in connection with them.
Secondly, analytical and numerical techniques suitable for this purpose are outlined. We
summarize their features and comment on their respective advantages, drawbacks and
applicability conditions. Thirdly, the Nonlinear Klein-Gordon and Schrbdinger equations
are chosen as specific examples. We collect a number of results that are representative of
the phenomena arising from the competition between nonlinearity and disorder. The
review is concluded with some remarks on open questions, main current trends and
possible further developments.
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International Journal of Modern Physics B, vol. 5, n. 18, 10 nov 1991. Pp. 2825–2882