By Mark J. Ablowitz

the sphere of nonlinear dispersive waves has built significantly because the paintings of Stokes, Boussinesq and Korteweg–de Vries (KdV) within the 19th century. within the Sixties, researchers constructed powerful asymptotic equipment for deriving nonlinear wave equations, equivalent to the KdV equation, governing a vast classification of actual phenomena that admit certain options together with these generally known as solitons. This publication describes the underlying approximation ideas and techniques for locating suggestions to those and different equations. The recommendations and techniques lined comprise wave dispersion, asymptotic research, perturbation conception, the strategy of a number of scales, deep and shallow water waves, nonlinear optics together with fiber optic communications, mode-locked lasers and dispersion-managed wave phenomena. such a lot chapters function workout units, making the ebook compatible for complicated classes or for self-directed studying. Graduate scholars and researchers will locate this a good access to a thriving region on the intersection of utilized arithmetic, engineering and actual science.

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