This text contains a survey of theories describing the evolution of random waves in nonlinear dispersive media. The three kinds of problems are considered. The first is the investigation of the evolution of initially random waves in nonlinear media describing the integrable and nearly integrable systems. It is important for many branches of acoustics and nonlinear optics, in particular for soliton transmissions in long optical communication systems. The second is the nonlinear waves propagation in the media with random parameters. The cases of stationary and nonstationary inhomogeneities are studied. The third is the investigation of chaotic behaviour of nonlinear waves under deterministic perturbations (dynamical chaos of nonlinear waves). The applications of theory to the problem of condensed matter physics and nonlinear optics are discussed for each type of problem.
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
ISBN-13
978-981-02-2347-2 (9789810223472)
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Schweitzer Klassifikation
Fundamental nonlinear wave equations in dispersive media; random waves and their statistical description; random waves in the integrable systems; random waves in almost integrable systems; solitons in the random media; solitons in the random active media; solitons interaction in the modulated and random media; evolution of bound states of solitons; nonlinear preiodic waves in the random media.
