Solitons and Chaos

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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.