000			02660nam a22004215a 4500
001			175-140303
003			CH-001817-3
005			20170613140820.0
006			a fot ||| 0|
007			cr nn mmmmamaa
008			140303e20140315sz fot ||| 0|eng d
020			_a9783037196311
024	7	0	_a10.4171/131 _2doi
040			_ach0018173
072		7	_aPBKJ _2bicssc
084			_a35-xx _a34-xx _a37-xx _2msc
100	1		_aGrébert, Benoît, _eauthor.
245	1	0	_aThe Defocusing NLS Equation and Its Normal Form _h[electronic resource] / _cBenoît Grébert, Thomas Kappeler
260	3		_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2014
264		1	_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2014
300			_a1 online resource (175 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	0		_aEMS Series of Lectures in Mathematics (ELM)
506	1		_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php
520			_aThe 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.
650	0	7	_aDifferential equations _2bicssc
650	0	7	_aPartial differential equations _2msc
650	0	7	_aOrdinary differential equations _2msc
650	0	7	_aDynamical systems and ergodic theory _2msc
700	1		_aGrébert, Benoît, _eauthor.
700	1		_aKappeler, Thomas, _eauthor.
856	4	0	_uhttps://doi.org/10.4171/131
856	4	2	_3cover image _uhttp://www.ems-ph.org/img/books/grebert_mini.jpg
942			_2EBK13844 _cEBK
999			_c50468 _d50468