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Nonlinear evolution equations for waves in random media

Abstract

The scope of this paper is to highlight the main ideas of asymptotical methods applying in modern approaches of description of nonlinear wave propagation in random media. We start with the discussion of the classical conception of ``mean field``. Then an exactly solvable model describing nonlinear wave propagation in the medium with fluctuating parameters is considered in order to demonstrate that the ``mean field`` method is not correct. We develop new asymptotic procedures of obtaining the nonlinear evolution equations for the wave fields in random media. (author). 16 refs.
Authors:
Pelinovsky, E; Talipova, T [1] 
  1. Institute of Applied Physics, Novgorod (Russian Federation)
Publication Date:
Dec 31, 1994
Product Type:
Conference
Report Number:
CONF-9305414-
Reference Number:
SCA: 661300; PA: AIX-26:060903; EDB-95:132233; SN: 95001462503
Resource Relation:
Conference: Workshop on qualitative aspects and applications of nonlinear evolution equations, Trieste (Italy), 3-14 May 1993; Other Information: PBD: 1994; Related Information: Is Part Of Qualitative aspects and applications of nonlinear evolution equations. Proceeding of the workshop; Beirao da Veiga, H. [ed.] [Pisa Univ. (Italy)]; Li Tatsien [ed.] [Fudan Univ., Shanghai, SH (China)]; PB: 224 p.
Subject:
66 PHYSICS; WAVE PROPAGATION; EQUATIONS OF MOTION; ASYMPTOTIC SOLUTIONS; KORTEWEG-DE VRIES EQUATION; MEAN-FIELD THEORY; NONLINEAR PROBLEMS; QUASILINEAR PROBLEMS
OSTI ID:
101439
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ISBN 981-02-1708-0; TRN: XA9539740060903
Submitting Site:
INIS
Size:
pp. 194-199
Announcement Date:
Jan 16, 2004

Citation Formats

Pelinovsky, E, and Talipova, T. Nonlinear evolution equations for waves in random media. IAEA: N. p., 1994. Web.
Pelinovsky, E, & Talipova, T. Nonlinear evolution equations for waves in random media. IAEA.
Pelinovsky, E, and Talipova, T. 1994. "Nonlinear evolution equations for waves in random media." IAEA.
@misc{etde_101439,
title = {Nonlinear evolution equations for waves in random media}
author = {Pelinovsky, E, and Talipova, T}
abstractNote = {The scope of this paper is to highlight the main ideas of asymptotical methods applying in modern approaches of description of nonlinear wave propagation in random media. We start with the discussion of the classical conception of ``mean field``. Then an exactly solvable model describing nonlinear wave propagation in the medium with fluctuating parameters is considered in order to demonstrate that the ``mean field`` method is not correct. We develop new asymptotic procedures of obtaining the nonlinear evolution equations for the wave fields in random media. (author). 16 refs.}
place = {IAEA}
year = {1994}
month = {Dec}
}