"Solitons and Chaos" is a response to the growing interestin systems exhibiting these two complementary manifestationsof nonlinearity. The papers cover a wide range of topics butshare common mathematical notions and investigationtechniques. An introductory note on eight concepts ofintegrability has been added as a guide for the uninitiatedreader. Both specialists and graduate students will findthis update on the state ofthe art useful.Key points: chaos vs. integrability; solitons: theory andapplications; dissipative systems; Hamiltonian systems; mapsand cascades; direct vs. inverse methods; higher dimensions;Lie groups, Painleve analysis, numerical algorithms;pertubation methods.