منابع مشابه
Emergence of coherent wave groups in deep-water random sea.
Extreme surface waves in a deep-water long-crested sea are often interpreted as a manifestation in the real world of the so-called breathing solitons of the focusing nonlinear Schrödinger equation. While the spontaneous emergence of such coherent structures from nonlinear wave dynamics was demonstrated to take place in fiber-optics systems, the same point remains far more controversial in the h...
متن کاملUnsteady evolution of localized unidirectional deep-water wave groups.
We study the evolution of localized wave groups in unidirectional water wave envelope equations [the nonlinear Schrödinger (NLSE) and the modified NLSE (MNLSE)]. These localizations of energy can lead to disastrous extreme responses (rogue waves). We analytically quantify the role of such spatial localization, introducing a technique to reduce the underlying partial differential equation dynami...
متن کاملThe Emergence of Coherent Wave Groups in Deep-water Random Sea
Extreme surface waves in deep-water long-crested sea are often interpreted as a manifestation in real world of the so-called breathing solitons of the focusing nonlinear Schrödinger equation. While the spontaneous emergence of such coherent structures from nonlinear wave dynamics was demonstrated to take place in fiber optics systems, the same point remains far more controversial in the hydrody...
متن کاملAdvantages and limitations of the nonlinear Schrödinger equation in describing the evolution of nonlinear water-wave groups
The nonlinear Schrödinger (NLS) equation is a popular and relatively simple model used extensively to describe the evolution of nonlinear water-wave groups. It is often applied in relation to the appearance of extremely steep (freak, or rogue) waves in the ocean. The limits of the applicability of the NLS equation, and in particular the relevance of the model to rogue waves, are examined here o...
متن کاملSimulation of static sinusoidal wave in deep water environment with complex boundary conditions using proposed SPH method
The study of wave and its propagation on the water surface is among significant phenomena in designing quay, marine and water structures. Therefore, in order to design structures which are exposed to direct wave forces, it is necessary to study and simulate water surface height and the wave forces on the structures body in different boundary conditions. In this study, the propagation of static ...
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ژورنال
عنوان ژورنال: Studies in Applied Mathematics
سال: 1979
ISSN: 0022-2526
DOI: 10.1002/sapm19796111