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Abstract:
This session will focus on a number of recent developments in the very active area of nonlinear waves and integrable systems. The topics include Hamiltonian structures; derivation of physical model equations; well-posedness; formation of singularities; coherent structures e.g. solitons, rogue waves, peakons, compactons, etc.; stability analysis and geometric aspects. Directions of work related to new methods and their applications to integrable systems and nonlinear PDEs will be emphasized, with the aim of bringing together a number of researchers at all career stages working in on these topics.
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