Titlebook: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations; Charles Li,Stephen Wiggins Book 1997 Springer Science+Bu

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,The Perturbed Nonlinear Schr?dinger Equation,on of the unperturbed nonlinear Schr?dinger equation (to be discussed shortly), there is precisely one exponentially growing and one exponentially decaying mode (more exponentially growing and decaying modes can be treated without difficulty). . The term is a perturbatively driving term.

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Book 1997uation. 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 fo