Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations formatIsbn:Hardcover - 9780387949253 Illustrated with Twenty-Three Hundred Figures

Illustrated with Twenty-Three Hundred Figures from the Author's Drawings

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Invariant Manifolds and Fibrations for Perturbed Nonlinear Schrödinger Equations formatIsbn:Hardcover - 9780387949253 Illustrated with Twenty-Three Hundred FiguresThis book presents a development of invariant manifold theory for a spe cific canonical nonlinear wave system the perturbed nonlinear Schrooinger equation. The main results fall into two parts. The first part is concerned with the persistence and smoothness of locally invariant manifolds. The sec ond part is concerned with fibrations of the stable and unstable manifolds of inflowing and overflowing invariant manifolds. The central technique for