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Nonlinear Dispersive WavesAsymptotic Analysis and Solitons\nAuthor(s): Mark J. Ablowitz\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9781107012547, 978-1107012547\nSynopsis\nThe field of nonlinear dispersive waves has developed enormously since the work of Stokes, Boussinesq and Kortewegde 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.