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
Orbital stability of negative solitary waves
✍ Scribed by Nguyet Thanh Nguyen; Henrik Kalisch
- Book ID
- 108200456
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 630 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0378-4754
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📜 SIMILAR VOLUMES
## Communicated by B. Brosowski This paper concerns the orbital stability for solitary waves of the ¸ong ¼ave-Short ¼ave 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
Consider herein are the stability of the solitary waves \(e^{-i \omega u s} e^{i \psi(x-t t)} a(x-v t)\) for the following nonlinear quintic derivative Schrödinger equation. \[ u_{t}=i u_{x x}+i\left(c_{3}|u|^{2}+c_{s}|u|^{4}\right) u+\left[\left(s_{0}+s_{2}|u|^{2}\right) u\right]_{v}, \quad u \in