Bøker i Series on Complexity, Nonlinearity, and Chaos-serien

This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods.

A systematic study of chaotic ray dynamics in underwater acoustic waveguides began in the mid-1990s when it was realized that this factor plays a crucial role in long-range sound propagation in the ocean. This book summarizes results obtained in this field.

A monograph dealing with the applications of the Lie group analysis to the modeling equations governing internal wave propagation in the deep ocean. It presents a fresh approach to describe the nonlinear interactions of internal waves in the ocean. It investigates oceanic internal waves through the prism of Lie group analysis.

This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.