000			01624 a2200193 4500
003			OSt
005			20230707163603.0
008			230427b |||||||| |||| 00| 0 eng d
020			_a9781107664104
040			_aICTS-TIFR
050			_aQC174.26.W28
100			_aMark J. Ablowitz
245			_aNonlinear dispersive waves: asymptotic analysis and solitons
260			_bCambridge University Press _aCambridge, UK _c2011
300			_axiv, 348 p.
490			_aCambridge Texts in Applied Mathematics _v47
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.
942			_2lcc _cBK
999			_c27829 _d27829