Rogue wave
Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave
... the rogue wave in the x t coordinates, the maximum of ampli- tude equal to 2N + 1 = 15 and the degree of polynomials in x and t here equal to 56 as already formulated in ...
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The general mixed nonlinear Schrödinger equation: Darboux transformation, rogue wave solutions, and modulation instability
... of rogue waves on the ocean is very difficult and dangerous, unreliable and few records and observations are available, which led to a lack of research on the rogue wave scientific community recognizing ...
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Modulational instability and higher order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers
... We consider the integrable generalization of the nonlinear Schrödinger equation that arises as a model for nonlinear pulse propagation in monomode optical fibers. The existent conditions for its modulational instability ...
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Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions
... solutions, rogue wave solutions, and conservation laws of this ...and rogue wave solu- tions are obtained via the proposed Darboux transformation, and the dynamics of these exact solutions is ...
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Rogue Wave for the Benjamin Ono Equation
... seek rogue wave solution of the Benjamin Ono ...breather wave solution is just a rogue wave ...that rogue wave can come from the extreme behavior of the breather solitary ...
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Rogue wave generation by inelastic quasi soliton collisions in optical fibres
... characterize rogue wave generation, dynamics and, if possible, ...of rogue waves in the generalized non-linear Schrödinger equation with third-order ...for rogue wave emergence and the ...
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Experimental evidence of hydrodynamic instantons : the universal route to rogue waves
... of rogue-wave formation, and compared the most likely evo- lution into an extreme wave, as predicted by the instan- ton, to the observed events measured in the ...of wave breaking, visu- ally ...
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Multi-rogue waves solutions to the focusing NLS equation and the KP-I equation
... KP- rogue waves takes place corresponding to the “higher order” Peregrine ...2-D rogue waves described by the precise analytic ...two-dimensional rogue wave, (described by the KP-I equation) ...
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On the probability of occurrence of rogue waves
... that rogue-wave- prone sea states can actually occur more often than once in the 25-yr period, which is currently used as a return period for ship ...of wave model un- certainties was outside the ...
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Few-cycle optical rogue waves: Complex modified Korteweg-de Vries equation
... Further, in addition to several important developments in soliton theory, the concept of modulational instability (MI) has also been widely used in many nonlinear systems to explain why experiments involving white ...
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Brief communication: Modulation instability of internal waves in a smoothly stratified shallow fluid with a constant buoyancy frequency
... of rogue waves is ...provide rogue-wave generation mechanisms beyond the well-established criterion of kh > ...internal rogue waves may have physical implications for those ...
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EARLY DETECTION OF ROGUE WAVES USING COMPRESSIVE SAMPLING
... triangular rogue wave spectra, however we obtain those spectra via compressed measurements with a significant undersampling ...triangular rogue wave spectra via compressive ...triangular ...
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Generation of rogue waves at model scale
... of wave elevations of the array of wave probes (WP1 – WP8) for sea states 1 and ...among wave probes, as the data was recorded in a single time ...leading wave probe (WP1) appeared to record ...
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Rogue waves and downshifting in the presence of damping
... We begin by determining the nonlinear spectrum of JON- SWAP initial data given by (20) for combinations of α = 0.008, 0.012,0.016,0.02, and γ = 1,2,4, 6,8. For each such pair (γ,α), fifty simulations were performed, each ...
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Various breathers and rogue waves for the coupled long wave short wave system
... and rogue wave solutions, are obtained for the coupled long-wave-short-wave system by using a Hirota two-soliton method with complex frequency and complex wave ...
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Rogue Waves of the Kundu Nonlinear Schrödinger Equation
... In Section 3, From a periodic seed solution, breather solutions, the first-order rogue wave and higher order rogue wave solutions of the Kundu-NLS equation are given.. The higher order r[r] ...
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A hybrid model for simulating rogue waves in random seas on a large temporal and spatial scale
... simulating rogue waves in random seas on a large temporal and spatial ...popular wave spectra – Wallops and JONSWAP ...significant wave height of and dimensionless spectrum bandwidth of based on the ...
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Rogue waves in 2006–2010
... For rogue waves at the coast the significant wave height is usually unknown and sometimes even irrelevant as the height of single waves is limited by the ...particular wave was compared against ...
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Rogue waves, rogue events and extreme wave kinematics in spatio-temporal fields of simulated sea states
... a rogue wave appears, then it is examined at all phases of its ...a rogue wave are considered in ...of rogue waves are ob- tained. We introduce the concept of a rogue event, ...
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Article Mathematical modeling of rogue waves: A survey of recent and emerging mathematical methods and solutions.
... and rogue events are closely associated with irregularities and unexpected events occurring at various levels of physics, such as in optics, in oceans and in the ...of rogue waves is a highly actual field ...
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