Topic
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.
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TL;DR: In this paper, a deformed Fokas-Lenells equation with higher-order nonholonomic constraint is studied and the baseband modulation instability as an origin of rogue waves is displayed.
Abstract: We study a deformed Fokas–Lenells equation which is related to the integrable derivative nonlinear Schrodinger hierarchy with higher-order nonholonomic constraint. The baseband modulation instability as an origin of rogue waves is displayed. The explicit rogue wave solutions are obtained via the Darboux transformation. Typical rogue wave patterns such as the standard rogue wave, dark rogue wave and twisted rogue wave pair in three different components of the deformed Fokas–Lenells equation are presented. Besides, the state transitions between rogue waves and solitons are analytically found when the modulation instability growth rate tends to zero in the zero-frequency perturbation region. The explicit soliton solutions under the special parameter condition are given. The anti-dark and W-shaped solitons in their respective components are shown.
42 citations
TL;DR: In this article, the modulational instability and higher-order discrete rogue waves in the generalized discrete Hirota system were investigated and the Lax pair and conservation laws for this system were constructed.
42 citations
TL;DR: A fourth-order coupled nonlinear Schrodinger equation, which describes the propagation of ultrashort optical pulses in the birefringent optical fiber, is investigated and it is found that the wave structure is affected by the relative background amplitudes and certain parameter in the solutions, and the range of the first-order rogue wave along the x axis increases with the increase of the fourth order term γ.
42 citations
TL;DR: A new Hirota’s bilinear form of the (4+1)-dimensional Fokas equation is obtained by an appropriate wave transformation using the parameter limit method and the fusion and fission phenomena of soliton are simulated by three-dimensional plots.
Abstract: A new Hirota’s bilinear form of the (4+1)-dimensional Fokas equation is obtained by an appropriate wave transformation. Applying the parameter limit method introduced in this paper, we obtain two homoclinic solutions and a rogue wave solution of (4+1)-dimensional Fokas equation. Besides, we also discuss the interaction between rogue wave solution and different forms of stripe solitons (one stripe soliton and double stripe solitons), and investigate the annihilation and emergence of rogue waves. Finally, the parametric reasons of soliton fusion and fission are discussed, furthermore, the fusion and fission phenomena of soliton are simulated by three-dimensional plots.
42 citations
TL;DR: In this article, the authors used the in-house Computational Fluid Dynamics (CFD) flow code AMAZON-SC as a numerical wave tank (NWT) to study wave loading on a wave energy converter (WEC) device in heave motion.
Abstract: . In this paper, we use the in-house Computational Fluid Dynamics (CFD) flow code AMAZON-SC as a numerical wave tank (NWT) to study wave loading on a wave energy converter (WEC) device in heave motion. This is a surface-capturing method for two fluid flows that treats the free surface as contact surface in the density field that is captured automatically without special provision. A time-accurate artificial compressibility method and high resolution Godunov-type scheme are employed in both fluid regions (air/water). The Cartesian cut cell method can provide a boundary-fitted mesh for a complex geometry with no requirement to re-mesh globally or even locally for moving geometry, requiring only changes to cut cell data at the body contour. Extreme wave boundary conditions are prescribed in an empty NWT and compared with physical experiments prior to calculations of extreme waves acting on a floating Bobber-type device. The validation work also includes the wave force on a fixed cylinder compared with theoretical and experimental data under regular waves. Results include free surface elevations, vertical displacement of the float, induced vertical velocity and heave force for a typical Bobber geometry with a hemispherical base under extreme wave conditions.
42 citations