Rogue wave

About: Rogue wave is a research topic. Over the lifetime, 2977 publications have been published within this topic receiving 70933 citations. The topic is also known as: freak wave & monster wave.

Rogue Wave with a Controllable Center of Nonlinear Schrödinger Equation

Abstract: The rogue waves with a controllable center are reported for the nonlinear Schrodinger equation in terms of rational-like functions by using a direct method. The position of these solutions can be controlled by choosing different center parameters and this may describe the possible formation mechanisms for optical, oceanic, and matter rogue wave phenomenon in optical fibres, the deep ocean, Bose—Einstein condensates respectively.

General High-order Rogue Waves of the (1+1)-Dimensional Yajima-Oikawa System

Abstract: General high-order rogue wave solutions for the (1+1)-dimensional Yajima–Oikawa (YO) system are derived by using the Hirota’s bilinear method and the KP hierarchy reduction method. These rogue wave...

Second-order rogue wave breathers in the nonlinear Schrödinger equation with quadratic potential modulated by a spatially-varying diffraction coefficient.

Abstract: Nonlinear Schrodinger equation with simple quadratic potential modulated by a spatially-varying diffraction coefficient is investigated theoretically. Second-order rogue wave breather solutions of the model are constructed by using the similarity transformation. A modal quantum number is introduced, useful for classifying and controlling the solutions. From the solutions obtained, the behavior of second order Kuznetsov-Ma breathers (KMBs), Akhmediev breathers (ABs), and Peregrine solitons is analyzed in particular, by selecting different modulation frequencies and quantum modal parameter. We show how to generate interesting second order breathers and related hybrid rogue waves. The emergence of true rogue waves – single giant waves that are generated in the interaction of KMBs, ABs, and Peregrine solitons – is explicitly displayed in our analytical solutions.

Fast and local non-linear evolution of steep wave-groups on deep water: A comparison of approximate models to fully non-linear simulations

Abstract: The non-linear Schrodinger equation and its higher order extensions are routinely used for analysis of extreme ocean waves. This paper compares the evolution of individual wave-packets modelled using non-linear Schrodinger type equations with packets modelled using fully non-linear potential flow models. The modified non-linear Schrodinger Equation accurately models the relatively large scale non-linear changes to the shape of wave-groups, with a dramatic contraction of the group along the mean propagation direction and a corresponding extension of the width of the wave-crests. In addition, as extreme wave form, there is a local non-linear contraction of the wave-group around the crest which leads to a localised broadening of the wave spectrum which the bandwidth limited non-linear Schrodinger Equations struggle to capture. This limitation occurs for waves of moderate steepness and a narrow underlying spectrum.