The nonlinear Schroedinger equation: self-focusing and wave collapse
✍ Scribed by Catherine Sulem, Pierre-Louis Sulem
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Leaves
- 339
- Series
- Applied Mathematical Sciences/139
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
This book, which tends to connect mathematical results and phenomenological modeling, should promote the transfer of information between the various communities concerned with nonlinear waves. Graduate students and researchers in the fields of pure and applied mathematics, nonlinear optics, plasma physics, hydrodynamics, and magnetohydrodynamics will find this book useful.
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This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for
This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for
This monograph aims to fill the gap between the mathematical literature which significantly contributed during the last decade to the understanding of the collapse phenomenon, and applications to domains like plasma physics and nonlinear optics where this process provides a fundamental mechanism for
The authors study the following singularly perturbed problem: - 2 ?u V(x)u=f(u) in R N . Their main result is the existence of a family of solutions with peaks that cluster near a local maximum of V(x) . A local variational and deformation argument in an infinite dimensional space is developed to es