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Plenary Talk: From wave turbulence to integrable turbulence and soliton gas

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HY2W04 - Statistical mechanics, integrability and dispersive hydrodynamics

Random nonlinear dispersive waves have been the subject of active research in nonlinear physics for more than five decades, most notably in the context of water wave dynamics. A significant portion of the work in this direction has been centered around weak wave turbulence. More recently, a new theme in turbulence theory has emerged in connection with the dynamics of strongly nonlinear random waves described by one-dimensional integrable systems, such as the Korteweg–de Vries (KdV) and 1D nonlinear Schrödinger (NLS) equations. This kind of random wave motion in nonlinear conservative systems is called ‘integrable turbulence’ and it has attracted significant attention from both the fundamental and applied perspectives. In this talk, I will review experimental and numerical developments recently made in the field of integrable turbulence.

This talk is part of the Isaac Newton Institute Seminar Series series.

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