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A Dressing Method in Mathematical Physics

The emergence of a new paradigm in science offers vast perspectives for future investigations, as well as providing fresh insight into existing areas of knowledge, discovering hitherto unknown relations between them. We can observe this kind of process in connection with the appearance of the concept of solitons [465]. Understanding the fact that nonlinear modes are as fundamental as linear ones, with the advent of a rigorous formalism making it possible to find exact solutions of a wide class of physically important nonlinear equations, gave rise to “a revolution that has quietly transformed the realm of science over the past quarter century”. | A Dressing Method in Mathematical Physics MATHEMATICAL PHYSICS STUDIES Editorial Board Maxim Kontsevich ỈHES Bures-sur-Yvette France Massimo Porrati New York University New York U.S.A. Vladimir Matveev Universite Bourgogne Dijon France Daniel Sternheimer Universite Bourgogne Dijon France VOLUME 28 A Dressing Method in Mathematical Physics by Evgeny V. Doktorov Institute of Physics Minsk Belarus and Sergey B. Leble University of Technology Gdansk Poland .