Spectral problems in the stability of forced solitary waves
β Scribed by I.H. Herron
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 182 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
Some spectral problems which arise in the study of forced solitary waves governed by the forced Korteweg-deVries (fKdV) equation are studied within the context of ordinary differential operators. Phenomena of interest are described in terms of continuous spectra with imbedded eigenvalues. (~
π SIMILAR VOLUMES
In this paper, we consider orbital stability of solitary waves with nonzero asymptotic value for the compound KdV equation. We present six explicit exact solitary waves with nonzero asymptotic value for this equation. To study their orbital stability, we utilize a translation transformation. Further
## 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