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 potent asymptotic equipment for deriving nonlinear wave equations, resembling the KdV equation, governing a wide type of actual phenomena that admit certain strategies together with these generally known as solitons. This ebook describes the underlying approximation recommendations and techniques for locating options to those and different equations. The techniques and techniques coated contain wave dispersion, asymptotic research, perturbation idea, the tactic 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. so much chapters characteristic workout units, making the ebook appropriate for complex classes or for self-directed studying. Graduate scholars and researchers will locate this a superb access to a thriving quarter on the intersection of utilized arithmetic, engineering and actual technological know-how.