title: Nonlinear decay of random waves described by an integrodifferential equation.
abstract: The evolution of random nonlinear waves (high-intensity noise) in a dissipative and dispersive media is studied. To describe wave processes, the mathematical model in the form of a nonlinear integrodifferential equation is used. The concrete integrand kernels are determined by both frequency-dependent absorption and velocity of the wave. The nonlinear energy loss of broadband noise is considered in two limiting cases: (i) at the initial stage of propagation, when the wave profile contains a small number of shock fronts, and (ii) at the later stage when the wave reshapes to a sawtoothlike one with randomly located shocks.
authors.affiliation: Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Ave., Nizhni Novgorod 603950, Russia.
authors.forename: Sergey N
authors.initials: SN
authors.lastname: Gurbatov
authors.affiliation: Lomonosov Moscow State University, Moscow 119991, Leninskie Gory, Moscow, Russia.
authors.forename: Oleg V
authors.initials: OV
authors.lastname: Rudenko
mesh_terms: D065567:Absorption, Physiological; D009038:Motion; D017711:Nonlinear Dynamics