Scattering of regularized-long-wave solitary waves
β Scribed by P.J. Morrison; J.D. Meiss; J.R. Cary
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 963 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0167-2789
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π SIMILAR VOLUMES
This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularizedlong-wave equations. It is shown that a traveling wave may be stable or unstable depending on the nonlinearity and the range of the wave's speed of propagation. Sharp condition
A recently developed method is described to propagate short wave equation pulses over indefinite distances and through regions of varying indices of refraction, including multiple reflections. The method, ''Wave Confinement'', utilizes a newly developed nonlinear partial differential equation (pde)
## Communicated by B. Brosowski This paper concerns the orbital stability for solitary waves of the ΒΈong ΒΌave-Short ΒΌave resonance equations. Since the abstract results of Grillakis et al. [7,8] cannot be applied directly, we can extend the abstract stability theory and use the detailed spectral a