𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Solitary Waves for Linearly Coupled Nonlinear Schrödinger Equations with Inhomogeneous Coefficients

✍ Scribed by Juan Belmonte-Beitia; Víctor M. Pérez-García; Pedro J. Torres


Publisher
Springer
Year
2009
Tongue
English
Weight
368 KB
Volume
19
Category
Article
ISSN
0938-8974

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


On asymptotic stability of solitary wave
✍ Vladimir S. Buslaev; Catherine Sulem 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 401 KB

We study the long-time behavior of solutions of the nonlinear Schrödinger 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

A linearly implicit conservative scheme
✍ M.S. Ismail; Thiab R. Taha 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 600 KB

The coupled nonlinear Schrödinger equation models several intersting physical phenomena. It presents a model equation for optical fiber with linear birefringence. In this paper, we present a linearly implicit conservative method to solve this equation. This method is second order accurate in space a

Orbital Stability of Solitary Waves for
✍ 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