Discrete and Continuous Nonlinear Schrdinger Systems by M. J... - 9780521534376

Discrete and Continuous Nonlinear Schrdinger SystemsAuthor(s): M. J. Ablowitz, B. Prinari, A. D. Trubatch\nFormat: Paperback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521534376, 978-0521534376\nSynopsis\nIn recent years there have been important and far reaching developments in the study of nonlinear waves and a class of nonlinear wave equations which arise frequently in applications. The wide interest in this field comes from the understanding of special waves called 'solitons' and the associated development of a method of solution to a class of nonlinear wave equations termed the inverse scattering transform (IST). Before these developments, very little was known about the solutions to such 'soliton equations'. The IST technique applies to both continuous and discrete nonlinear Schrdinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder network, which are well-know.