We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Effect of the Dissipation, Dispersion, and Diffraction on the Amplitude and the Transverse Stability of Solitons.
- Authors
Bagdoev, A. G.; Shekoyan, A. V.
- Abstract
The transverse stability and the amplitude variations of soliton-like wave motions in the presence of nonlinearity, dispersion, diffraction, and dissipation in the medium are studied. The wave process is described by a quintic nonlinear evolution equation. It is demonstrated that the stability of the solution does not depend on the dissipation when the dissipation, diffraction, and dispersion are of the same order of magnitude. It depends on the sign of the ratio of the diffraction and dispersion coefficients. When the sign is positive, the soliton is stable. This result coincides with the stability condition for a nonlinear modulation wave. For the case of strong dissipation, an expression describing the soliton amplitude is obtained and the dissipation is shown to have no effect on the soliton stability.
- Subjects
SOLITONS; ENERGY dissipation
- Publication
Acoustical Physics, 2001, Vol 47, Issue 6, p644
- ISSN
1063-7710
- Publication type
Article
- DOI
10.1134/1.1418887