Annotation. This volume is an introduction to nonlinear waves and soliton theory in the special environment of compact spaces such a closed curves and surfaces and other domain contours. It assumes familiarity with basic soliton theory and nonlinear dynamical systems. The first …
Annotation
Introduction -- An outline of the main directions. 0.1. Plan of this book. 0.2. Chiral fields and Sin-Gordon equation. 0.3. Generalized Heisenberg magnet and VNS equation. 0.4. Four key constructions. 0.5. Basic notations -- I. Conservation laws & algebraic-geometric solutions. …
In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory …
In the 25 years of its existence Soliton Theory has drastically expanded our understanding of "integrability" and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory …