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Field name	Details
Title	The Defocusing NLS Equation and Its Normal Form ([EBook] /) / Benoît Grébert, Thomas Kappeler
Author	Grébert, Benoît
Added Personal Name	Kappeler, Thomas
Publication	Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2014
Physical Details	1 online resource (175 pages)
Series	EMS Series of Lectures in Mathematics (ELM) 2523-5176
ISBN	9783037196311
Summary Note	The theme of this monograph is the nonlinear Schrödinger equation. This equation models slowly varying wave envelopes in dispersive media and arises in various physical systems such as water waves, plasma physics, solid state physics and nonlinear optics. More specifically, this book treats the defocusing nonlinear Schrödinger (dNLS) equation on the circle with a dynamical systems viewpoint. By developing the normal form theory it is shown that this equation is an integrable partial differential equation in the strongest possible sense. In particular, all solutions of the dNLS equation on the circle are periodic, quasi-periodic or almost-periodic in time and Hamiltonian perturbations of this equation can be studied near solutions far away from the equilibrium. The book is not only intended for specialists working at the intersection of integrable PDEs and dynamical systems, but also for researchers farther away from these fields as well as for graduate students. It is written in a modular fashion, each of its chapters and appendices can be read independently of each other.:
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.4171/131
See Also	https://www.ems-ph.org/img/books/grebert_mini.jpg
Links to Related Works	Subject References: Differential Equations . Dynamical systems and ergodic theory . Ordinary differential equations . Partial differential equations . Authors: author . Grébert, Benoît . Kappeler, Thomas . Series: EMS Series of Lectures in Mathematics (ELM) .

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The Defocusing NLS Equation and Its Normal Form

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