Asymptotic Stability of Ascending Solitary Magma Waves
β Scribed by Simpson, Gideon; Weinstein, Michael I.
- Book ID
- 118197714
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2008
- Tongue
- English
- Weight
- 903 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0036-1410
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π SIMILAR VOLUMES
We study the long-time behavior of solutions of the nonlinear SchrΓΆdinger equation in one space dimension for initial conditions in a small neighborhood of a stable solitary wave. Under some hypothesis on the structure of the spectrum of the linearized operator, we prove that, asymptotically in time
The generalized magma equation, in which dispersion and nonlinearity are coupled together in a manner reminiscent of the Harry-Dym equation, is solved to indicate both periodic and aperiodic implicit solitary wave solutions. It is argued that the presence of an additional spatial derivative in the m