This book brings together several aspects of soliton theory currently available only in research papers. Emphasis is given to the multi-dimensional problems which arise and includes inverse scattering in multi-dimensions, integrable nonlinear evolution equations in multi-dimensions and the dbar method.

Review

"...well-written and presented." R. Grimshaw, Journal of Fluid Mechanics

"For researchers working in this [field] this book is a valuable source of information which provides an excellent overview of the established results and the present developments. The presentation is clear and well structured, so that novices wishing to move into inverse scattering and solitons will find this book to be a useful introduction to these modern techniques." Walter Oevel, Mathematical Reviews

"...reflects the changing emphasis of current research into solitons and integrable systems by concentrating on systems with more than one space dimension....valuable in bridging the diverse approaches to the subject by analysts and algebraic geometers. It records the relationships between results of gauge theory, Lie algebras and functional analysis and those of classical and numerical analysis....a well-ordered treasure house of ancient and modern work on integrable systems, fascinating and useful to browse in...essential for all specialists on integrable systems and for all major mathematical libraries." P.G. Drazin, Bulletin of the London Mathematical Society

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