Lie Algebraic Methods in Integrable Systems

In recent decades, the study of nonlinear integrable systems has grown into a full-fledged research topic. The ideas associated with Lie algebra and groups can form a particularly elegant approach to the properties of nonlinear systems. In this volume, the author presents the techniques for using Lie algebraic concepts to explore nonlinear integrable systems. His emphasis is not on developing a rigorous mathematical basis, but on using Lie algebraic methods as a tool. The text summarizes the use of these methods in various fields of theoretical research and serves mathematicians and theoretical physicists working in nonlinear integrable systems, dynamical systems, and chaos.