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Nonlinear Partial Differential Equations for Scientists and Engineers || The Nonlinear Schrödinger Equation and Solitary Waves

✍ Scribed by Debnath, Lokenath

Book ID
120658251
Publisher
Birkhäuser Boston
Year
2005
Weight
415 KB
Category
Article
ISBN
0817644180

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📜 SIMILAR VOLUMES

Nonlinear Partial Differential Equations
Nonlinear Partial Differential Equations for Scientists and Engineers Volume 178 || The Nonlinear Schrödinger Equation and Solitary Waves
✍ Debnath, Lokenath 📂 Article 📅 2012 🏛 Birkhäuser Boston 🌐 English ⚖ 642 KB

The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications.  In an effort to make the book more useful for a diverse readership, updated modern examp

On asymptotic stability of solitary wave
On asymptotic stability of solitary waves for nonlinear Schrödinger equations
✍ 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