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SIDE III
This volume contains the proceedings of the third meeting on ``Symmetries and Integrability of Difference Equations'' (SIDE III). The collection includes original results not published elsewhere and articles that give a rigorous but concise overview of their subject, and provides a complete description of the state of the art. Research in the field of difference equations--often referred to more generally as discrete systems--has undergone impressive development in recent years. In this collection the reader finds the most important new developments in a number of areas, including: Lie-type symmetries of differential-difference and difference-difference equations, integrability of fully disc...
The Direct Method in Soliton Theory
Account of method of solving soliton equations by the inventor of the method.
Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete
On April 29, 1814 Napoleon landed on the island of Elba, surrounded with a personal army of 1200 men. The allies, Russia, Prussia, England and Austria, hadforcedhimintoexileafteranumberofverycostlydefeats;hewasdeprived ofallhistitles, butcouldkeepthetitleof"EmperorofElba". Historytellsusthat each morning he took long walks in the sun, reviewed his army each midday anddiscussedworldmatterswithnewlyappointedadvisors, followingthesame pattern everyday, to the great surprise of Campbell, the British of?cer who was to keep an eye on him. All this made everyone believe he was settled there for good. Napoleononcesaid:Elbaisbeautiful, butabitsmall. Elbawasde?nitely a source of inspiration; indeed, t...
Waves And Wave Interactions In Plasmas
This book is written in a lucid and systematic way for advanced postgraduates and researchers studying applied mathematics, plasma physics, nonlinear differential equations, nonlinear optics, and other engineering branches where nonlinear wave phenomena is essential.In sequential order of the book's development, readers will understand basic plasmas with elementary definitions of magnetized and unmagnetized plasmas, plasma modeling, dusty plasma and quantum plasma. Following which, the book describes linear and nonlinear waves, solitons, shocks and other wave phenomena, while solutions to common nonlinear wave equations are derived via standard techniques. Readers are introduced to elementar...
Discrete Systems and Integrability
A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.
Dynamical Problems in Soliton Systems
This volume contains most of the papers presented in the oral session of the 7th Kyoto Summer Institute (KSI) . on Dynamical Problems in Soliton Systems, held in Kyoto from August 27 to 31, 1984. Furthermore, it contains contributions of R.K. Bullough, H.H. Chen, A.S. Davydov, and N. Sanchez, who unfortunately could not attend. Thirty-six papers were presented in the oral session and 17 papers in the poster session. The meeting brought together 109 physicists and mathematicians, of which 22 were from abroad (see group photograph). The KSI is an international meeting organized by the Research Institute for Fundamental Physics (RIFP), Kyoto University to discuss various cur re nt problems of f...
Representations of Lie Algebras, Quantum Groups and Related Topics
This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held from November 12–13, 2016, at North Carolina State University, Raleigh, North Carolina. The articles cover various aspects of representations of Kac–Moody Lie algebras and their applications, structure of Leibniz algebras and Krichever–Novikov algebras, representations of quantum groups, and related topics.
Scientific Bulletin
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Future Directions of Nonlinear Dynamics in Physical and Biological Systems
Early in 1990 a scientific committee was formed for the purpose of organizing a high-level scientific meeting on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scott's 60th birthday (December 25, 1991). As preparations for the meeting proceeded, they were met with an unusually broad-scale and high level of enthusiasm on the part of the international nonlinear science community, resulting in a participation by 168 scientists from 23 different countries in the conference, which was held July 23 to August 11992 at the Laboratory of Applied Mathematical Physics and the Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) ...
