000			02777nam a22004098i 4500
001			CR9780511546709
003			UkCbUP
005			20200124160234.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090508s2004||||enk o ||1 0|eng|d
020			_a9780511546709 (ebook)
020			_z9780521534376 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC174.26.W28 _bA26 2004
082	0	0	_a530.12/4 _221
100	1		_aAblowitz, Mark J., _eauthor.
245	1	0	_aDiscrete and continuous nonlinear Schrödinger systems / _cM.J. Ablowitz, B. Prinari, A.D. Trubatch.
246	3		_aDiscrete & Continuous Nonlinear Schrödinger Systems
264		1	_aCambridge : _bCambridge University Press, _c2004.
300			_a1 online resource (ix, 257 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v302
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_g1. _tIntroduction -- _g2. _tNonlinear Schrd̲inger equation (NLS) -- _g3. _tIntegrable discrete nonlinear Schrd̲inger equation (IDNLS) -- _g4. _tMatrix nonlinear Schrd̲inger equation (MNLS) -- _g5 _tIntegrable discrete matrix NLS equation (IDMNLS).
520			_aIn recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrödinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-known discrete systems. This book, first published in 2003, presents the detailed mathematical analysis of the scattering theory; soliton solutions are obtained and soliton interactions, both scalar and vector, are analyzed. Much of the material is not available in the previously-published literature.
650		0	_aSchrödinger equation.
650		0	_aNonlinear theories.
650		0	_aInverse scattering transform.
700	1		_aPrinari, B., _d1972- _eauthor.
700	1		_aTrubatch, A. D., _d1968- _eauthor.
776	0	8	_iPrint version: _z9780521534376
830		0	_aLondon Mathematical Society lecture note series ; _v302.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511546709
999			_c517881 _d517879