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"Solitons and Chaos" is a response to the growing interest§in systems exhibiting these two complementary manifestations§of nonlinearity. The papers cover a wide range of topics but§share common mathematical notions and investigation§techniques. An introductory note on eight concepts of§integrability has been added as a guide for the uninitiated§reader. Both specialists and graduate students will find§this update on the state ofthe art useful.§Key points: chaos vs. integrability; solitons: theory and§applications; dissipative systems; Hamiltonian systems; maps§and cascades; direct vs. inverse methods; higher dimensions;§Lie groups, Painleve analysis, numerical algorithms;§pertubation methods.