By Benoit Grebert, Thomas Kappeler

The subject matter of this monograph is the nonlinear Schrödinger equation. This equation versions slowly various wave envelopes in dispersive media and arises in quite a few actual platforms comparable to water waves, plasma physics, reliable country physics and nonlinear optics. extra in particular, this e-book treats the defocusing nonlinear Schrödinger (dNLS) equation at the circle with a dynamical platforms standpoint. through constructing the traditional shape concept, it's proven that this equation is an integrable partial differential equation within the most powerful attainable feel. particularly, all suggestions of the dNLS equation at the circle are periodic, quasi-periodic or almost-periodic in time and Hamiltonian perturbations of this equation may be studied close to suggestions distant from the equilibrium. The publication is meant not just for experts operating on the intersection of integrable PDEs and dynamical platforms but additionally for researchers farther clear of those fields in addition to for graduate scholars. it truly is written in a modular style; every one of its chapters and appendices will be learn independently of one another. A book of the eu Mathematical Society (EMS). disbursed in the Americas through the yank Mathematical Society.

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