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- Title
Nonlinear Equations for Quasi-Monochromatic Waves near a Caustic in a Dispersive Dissipative Medium with Cubic or Quadratic Nonlinearity.
- Authors
Bagdoev, A. G.; Saakyan, S. G.
- Abstract
The behavior of a quasi-monochromatic nonlinear wave near a caustic is considered. Nonlinear ordinary differential equations for a dispersive dissipative medium with a cubic or quadratic nonlinearity are derived. For the latter medium, nonstationary equations describing it near the caustic are presented with allowance for the dissipative dispersive terms. These equations yield ordinary ones for quasi-monochromatic waves. The amplitude of the second harmonic is expressed in terms of the squared amplitude of the first harmonic. The amplitude of the second harmonic, as well as the solution as a whole, increases near the caustic.
- Subjects
SOUND waves; NONLINEAR waves
- Publication
Acoustical Physics, 2000, Vol 46, Issue 3, p249
- ISSN
1063-7710
- Publication type
Article
- DOI
10.1134/1.29877