منابع مشابه
Singular pseudodifferential calculus for wavetrains and pulses
We generalize the analysis of [12] and develop a singular pseudodifferential calculus. The symbols that we consider do not satisfy the standard decay with respect to the frequency variables. We thus adopt a strategy based on the Calderón-Vaillancourt Theorem. The remainders in the symbolic calculus are bounded operators on L, whose norm is measured with respect to some small parameter. Our main...
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für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
متن کاملModulational Stability of Korteweg - De Vries and Boussinesq Wavetrains Bhimsen
The modulational stability of both the Korteweg-de Vries (KdV) and the Boussinesq wavetralns is investigated using Whltham’s variational method. It is shown that both KdV and Boussinesq wavetrains are modulationally stable. This result seems to confirm why it is possible to transform the KdV equation into a nonlinear Schr’dinger equation with a repulsive potential. A brief discussion of Whltham...
متن کاملAttenuation of Dispersed Waves
A measure of the absorption of elastic waves is the specific absorption coe•cient 1/Q. In dispersive mediums, whether the dispersion is due to geometry, inhomogeneity, or both, measurements are often made outside the body and the measurements must be interpreted as to the distribution of values of 1/Q within the body. Two definitive experiments of this type are those performed using standing wa...
متن کاملSpectral Filtering Formalism and Its Application for Multi-Phase Deep-Water Wavetrains By I. L. Kliakhandler and B. Y. Rubinstein A new formalism of spectral filtering for the description of the modulation
A new formalism of spectral filtering for the description of the modulation processes is proposed. The method allows one to study the classical problem of multi-phase modulations in dispersive systems. In the present paper, deepwater waves are considered. Spectral filtering results in a system of coupled equations that describe the modulations of the carrier wave and its harmonics. The formalis...
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ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 1973
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.1973.tb03415.x