Solitons Introduction and Applications [Paperback]

A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.Proceedings of the Winter School, Bharathidasan University, Tiruchirapalli, South India, January 5-17, 1987.A good deal of the material presented in this book has been prepared by top experts in the field lecturing in January 1987 at the Winter School on Solitons in Tiruchirapalli,India. The lectures begin at an elementary level but go on to include even the most recent developments in the field. The book makes a handy introduction to the various facets of the soliton concept, and will be useful both to newcomers to the field and to researchers who are interested in developments in new branches of physics and mathematics.I Introduction.- Inaugural Address  The Dynamics of Dynamics.- The Wave Par Excellence, the Solitary Progressive Great Wave of Equilibrium of the Fluid: An Early History of the Solitary Wave (With 8 Figures).- II Mathematical Theory: IST, Symmetries, Singularity Structure and Integrability.- Topics Associated with Nonlinear Evolution Equations and Inverse Scattering in Multidimensions.- Inverse Problems and a Unified Approach to Integrability in 1, 1+1 and 2+1 Dimensions.- Gauge Unification of Integrable Nonlinear Systems (With 3 Figures).- Prolongation Structure in One and Two Dimensions.- Integrable Equations in Multi-Dimensions (2+1) are Bi-Hamiltonian Systems.- Painlev? Analysis and Integrability Aspects of Nonlinear Evolution Equations.- Generalised Burgers Equations and Connection Problems for Euler-Painlev? Transcendents.- B?clc;