Glimpses of soliton theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half century it aims to convince the reader that like the mirrors and hidden pockets used by magicians the underlying algebro geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. Solitons are explicit solutions to nonlinear partial differential equations they are waves that behave in many respects like particles the founding story of soliton theory repeated so often it is now almost indistinguishable from myth tells of john scott russell and his observation in 1834 of a peculiar solitary wave in a canal near edinburgh. Amazonin buy glimpses of soliton theory the algebra and geometry of nonlinear pdes student mathematical library book online at best prices in india on amazonin read glimpses of soliton theory the algebra and geometry of nonlinear pdes student mathematical library book reviews author details and more at amazonin free delivery on qualified orders. Solitons are explicit solutions to nonlinear partial differential equations exhibiting particle like behavior this is quite surprising both mathematically and physically waves with these properties were once believed to be impossible by leading mathematical physicists yet they are now not only accepted as a theoretical possibility but are regularly observed in nature and form the basis of . 9780821852453 glimpses of soliton theory the algebra and geometry of nonlinear pdes kasman alex american mathematical society 2010 304 pages