Breakdown of a monochromatic wave in a medium with an inertia-free nonlinearity

V. E. Zakharov; V. V. Sobolev; V. S. Synakh

doi:10.1007/BF00852359

Breakdown of a monochromatic wave in a medium with an inertia-free nonlinearity

V. E. Zakharov
, V. V. Sobolev
, V. S. Synakh

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The nonlinear instability mode of a monochromatic wave in a medium with an inertia-free non-linearity is analyzed theoretically and simulated numerically. It is shown that, if longitudinal and transverse instabilities occur simultaneously, the wave is splitinto three-dimensional clusters containing amplitude singularities. As a result, the monochromatic wave "breaks down," which is accompanied by a considerable widening of its spectrum and angular divergence.

Original language	English (US)
Pages (from-to)	80-84
Number of pages	5
Journal	Journal of Applied Mechanics and Technical Physics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/BF00852359
State	Published - Jan 1972

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1007/BF00852359

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title = "Breakdown of a monochromatic wave in a medium with an inertia-free nonlinearity",

abstract = "The nonlinear instability mode of a monochromatic wave in a medium with an inertia-free non-linearity is analyzed theoretically and simulated numerically. It is shown that, if longitudinal and transverse instabilities occur simultaneously, the wave is splitinto three-dimensional clusters containing amplitude singularities. As a result, the monochromatic wave {"}breaks down,{"} which is accompanied by a considerable widening of its spectrum and angular divergence.",

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year = "1972",

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AU - Sobolev, V. V.

AU - Synakh, V. S.

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Y1 - 1972/1

N2 - The nonlinear instability mode of a monochromatic wave in a medium with an inertia-free non-linearity is analyzed theoretically and simulated numerically. It is shown that, if longitudinal and transverse instabilities occur simultaneously, the wave is splitinto three-dimensional clusters containing amplitude singularities. As a result, the monochromatic wave "breaks down," which is accompanied by a considerable widening of its spectrum and angular divergence.

AB - The nonlinear instability mode of a monochromatic wave in a medium with an inertia-free non-linearity is analyzed theoretically and simulated numerically. It is shown that, if longitudinal and transverse instabilities occur simultaneously, the wave is splitinto three-dimensional clusters containing amplitude singularities. As a result, the monochromatic wave "breaks down," which is accompanied by a considerable widening of its spectrum and angular divergence.

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U2 - 10.1007/BF00852359

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M3 - Article

AN - SCOPUS:34250411514

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ER -

Breakdown of a monochromatic wave in a medium with an inertia-free nonlinearity

Abstract

ASJC Scopus subject areas

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