By Jianke Yang
This ebook provides state of the art advancements within the conception and experiments of nonlinear waves. Its complete assurance of analytical equipment for nonintegrable structures is the 1st of its variety. It additionally covers in nice intensity analytical equipment for integrable equations, and comprehensively describes effective numerical equipment for all significant features of nonlinear wave computations. moreover, the ebook offers the most recent experiments on nonlinear waves in optical platforms and Bose- Einstein condensates, specially in periodic media. The publication includes a huge variety of uncomplicated and effective MATLAB codes for varied nonlinear wave computations, which readers can simply adapt to resolve their very own difficulties. The codes is also stumbled on on an linked website. viewers: This booklet is meant for researchers and graduate scholars operating in utilized arithmetic and diverse actual matters, comparable to nonlinear optics, Bose Einstein condensates, and fluid dynamics, the place nonlinear wave phenomena come up. Contents: record of Figures; Preface; bankruptcy 1. Derivation of nonlinear wave equations; bankruptcy 2. Integrable conception for the nonlinear Schr?¶dinger equation; bankruptcy three. Theories for integrable equations with higher-order scattering operators; bankruptcy four. Soliton perturbation theories and functions; bankruptcy five. Theories for nonintegrable equations; bankruptcy 6. Nonlinear wave phenomena in periodic media; bankruptcy 7. Numerical equipment for nonlinear wave equations; Bibliography; Index.