000			03089nam a22003978i 4500
001			CR9780511998324
003			UkCbUP
005			20200124160224.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110114s2011||||enk o ||1 0|eng|d
020			_a9780511998324 (ebook)
020			_z9781107012547 (hardback)
020			_z9781107664104 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC174.26.W28 _bA264 2011
082	0	0	_a530.15/5355 _223
100	1		_aAblowitz, Mark J., _eauthor.
245	1	0	_aNonlinear dispersive waves : _basymptotic analysis and solitons / _cMark J. Ablowitz.
264		1	_aCambridge : _bCambridge University Press, _c2011.
300			_a1 online resource (xiv, 348 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge texts in applied mathematics ; _v47
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	8		_aMachine generated contents note: Preface; Acknowledgements; Part I. Fundamentals and Basic Applications: 1. Introduction; 2. Linear and nonlinear wave equations; 3. Asymptotic analysis of wave equations; 4. Perturbation analysis; 5. Water waves and KdV type equations; 6. Nonlinear Schrödinger models and water waves; 7. Nonlinear Schrödinger models in nonlinear optics; Part II. Integrability and Solitons: 8. Solitons and integrable equations; 9. Inverse scattering transform for the KdV equation; Part III. Novel Applications of Nonlinear Waves: 10. Communications; 11. Mode-locked lasers; 12. Nonlinear photonic lattices; References; Index.
520			_aThe field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Korteweg-de Vries (KdV) in the nineteenth century. In the 1960s, researchers developed effective asymptotic methods for deriving nonlinear wave equations, such as the KdV equation, governing a broad class of physical phenomena that admit special solutions including those commonly known as solitons. This book describes the underlying approximation techniques and methods for finding solutions to these and other equations. The concepts and methods covered include wave dispersion, asymptotic analysis, perturbation theory, the method of multiple scales, deep and shallow water waves, nonlinear optics including fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. Most chapters feature exercise sets, making the book suitable for advanced courses or for self-directed learning. Graduate students and researchers will find this an excellent entry to a thriving area at the intersection of applied mathematics, engineering and physical science.
650		0	_aWave equation.
650		0	_aNonlinear waves.
650		0	_aSolitons.
650		0	_aAsymptotic expansions.
776	0	8	_iPrint version: _z9781107012547
830		0	_aCambridge texts in applied mathematics ; _v47.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511998324
999			_c517012 _d517010