Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1997-09-20
Nonlinear Sciences
Exactly Solvable and Integrable Systems
52 pages, 17 figures, Latex (Lecture given at the IEEE International Workshop on "Visions of Nonlinear Science in the 21st Cen
Scientific paper
Integrability and chaos are two of the main concepts associated with nonlinear physical systems which have revolutionized our understanding of them. Highly stable exponentially localized solitons are often associated with many of the important integrable nonlinear systems while motions which are sensitively dependent on initial conditions are associated with chaotic systems. Besides dramatically raising our perception of many natural phenomena, these concepts are opening up new vistas of applications and unfolding technologies: Optical soliton based information technology, magnetoelectronics, controlling and synchronization of chaos and secure communications, to name a few. These developments have raised further new interesting questions and potentialities. We present a particular view of some of the challenging problems and payoffs ahead in the next few decades by tracing the early historical events, summarizing the revolutionary era of 1950-70 when many important new ideas including solitons and chaos were realized and reviewing the current status. Important open problems both at the basic and applied levels are discussed.
No associations
LandOfFree
Nonlinear Physics: Integrability, Chaos and Beyond does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlinear Physics: Integrability, Chaos and Beyond, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Physics: Integrability, Chaos and Beyond will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-328233