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Orbital stability of solitary waves of the long wave–short wave resonance equations

✍ Scribed by Boling Guo; Lin Chen

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
117 KB
Volume
21
Category
Article
ISSN
0170-4214

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✦ Synopsis

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 analysis to obtain the stability of the solitary waves.

1998 B. G. Teubner Stuttgart-John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Orbital Stability of Solitary Waves for
Orbital Stability of Solitary Waves for the Nonlinear Derivative Schrödinger Equation
✍ B.L. Guo; Y.P. Wu 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 445 KB

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