The third volume consists of a collection of contributions by world-leading experts in the subject of nonlinear DE and nonlinear dynamical systems (both continuous and discrete), but in this instance only featuring contributions by leading Chinese scientists who also work in China. "The book surveys recent progress in nonlinear differential equations and nonlinear dynamical systems. With contributions written by internationally well-known experts, some modern aspects of nonlinear science are discussed in detail, especially those related to integrable systems."- Adrian Constantin, University of Vienna "This book covers the most active research domains on integrability not only in China, but also abroad. At the invitation of the two editors, all the authors, experts in their field, made a real effort to make the state-of-the-art accessible to graduate students and young researchers."- Robert Conte, Associate Research Director, Université Paris-Saclay "The third volume of Nonlinear Systems and Their Remarkable Mathematical Structures is an outstanding contribution to a large area of mathematics mathematical physics. Quite remarkably, the book contains very recent and sophisticated advances, but, at the same time, it remains accessible to a wide audience. It can be recommended to graduate students and young researchers willing to familiarize themselves with the subject. The book contains introductory articles written by leading experts, and this make it possible for the reader to cover a greater distance in a short time, to arrive at the front line of contemporary research."- Valentin Ovsienko, CNRS, University of Reims Champagne Ardenne