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Titlebook: Rogue and Shock Waves in Nonlinear Dispersive Media; Miguel Onorato,Stefania Resitori,Fabio Baronio Book 2016 Springer International Publi

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Book 2016ct matter and cutting-edge applications in both geophysical fluid dynamics and nonlinear optics...Rogue and shock waves are phenomena that may occur in the propagation of waves in any nonlinear dispersive medium. Accordingly, they have been observed in disparate settings – as ocean waves, in nonline
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Hamiltonian Description of Ocean Waves and Freak Waves,ays deviations from the Normal, giving finite skewness and excess kurtosis. These deviations are caused by the presence of the bound waves and, in case of almost one-dimensional propagation, by non-resonant four-wave interactions.
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Hydrodynamic and Optical Waves: A Common Approach for Unidimensional Propagation,D’Alembert equation and a short description of the Hamiltonian formulation of water waves, we introduce a similar formalism for describing optical waves. We restrict our analysis to one-dimensional propagation. Under a number of assumptions, we rewrite the Maxwell equations in a very general form th
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Hydrodynamic Envelope Solitons and Breathers,applies to several nonlinear dispersive media, such as Bose-Einstein condensates, plasma, optics and hydrodynamics. An important feature of the NLSE is its integrability. Exact solutions and their experimental observations, ranging from solitons to breathers in various physical media, confirmed the
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Experiments on Breathers in Nonlinear Fibre Optics,fibres, in particular for generating high-repetition-rate soliton trains and for parametric amplification of weak signals. Modulation instability is also known as a general precursor of highly localized wave structures through amplification of perturbations. We review here the recent experiments per
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Modelling Transient Sea States with the Generalised Kinetic Equation,ent, where the main modelling tool is the kinetic equation. In the context of oceanic waves sharp changes of wind do occur quite often and can generate transient sea states with characteristic timescales of up to hundreds of wave periods. It is of great fundamental and practical interest to understa
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Introduction to Wave Turbulence Formalisms for Incoherent Optical Waves,. We consider the nonlinear Schrödinger equation as a representative model accounting for a nonlocal or a noninstantaneous nonlinearity, as well as higher-order dispersion effects. We discuss the wave turbulence kinetic equation describing, e.g., wave condensation or wave thermalization through supe
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