Nonlinear Waves

Nonlinear Waves Synopsis

This book concentrates upon the study of mathematical models of nonlinear solitary waves known as solitons. As the name indicates, a soliton is a localized wave that travels without changing its shape, such as an ocean wave. An important feature of solitons is that they keep their shapes after collisions with other solitons.

Interesting to anybody who wants to unearth the real sense and nature of solitary waves, and the relevant mathematical tools to use for effective investigation and analysis of these phenomena, the text focuses on numerical analysis of solitons. The integrability and multidimensionality of solitons is inextricably bound up with the approach of investigation and, as the more physical systems are not fully integrable, even in one dimension, numerical analysis is the main tool to investigate and understand the pertinent physical mechanisms.