Linear instability of the Peregrine breather: Numerical and analytical investigations [PDF]
Applied Numerical Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C M Schöber
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Tenth Peregrine breather solution to the NLS equation [PDF]
Annals of Physics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pierre Gaillard
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Twenty Parameters Families of Solutions to the NLS Equation and the Eleventh Peregrine Breather [PDF]
Communications in Theoretical Physics, 2016 The Peregrine breather of order eleven (P11 breather) solution to the focusing one-dimensional nonlinear Schrodinger equation (NLS) is explicitly constructed here. Deformations of the Peregrine breather of order 11 with 20 real parameters solutions to the NLS equation are also given: when all parameters are equal to 0 we recover the famous P11 breather.
Gaillard, Pierre, Gastineau, Mickael
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Two Parameters Deformations of Ninth Peregrine Breather Solution of the NLS Equation and Multi-Rogue Waves [PDF]
Journal of Mathematics, 2013 This paper is a continuation of a recent paper on the solutions of the focusing NLS equation. The representation in terms of a quotient of two determinants gives a very efficient method of determination of famous Peregrine breathers and their ...
Pierre Gaillard
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Persistence of Peregrine Breather in Random Sea States [PDF]
, 2018 Rogue waves are widely recognized as great threats to human oceanic activities. The effectiveness of using the Peregrine breather to model rogue waves has been successfully demonstrated in both numerical and physical wave tank. Additionally, its persistence in random seas has been confirmed in some cases, so that it can also be employed to model rogue ...
Wang, J., Ma, Q., Yan, S., Chabchoub, A.
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Twenty Two Parameter Deformations of the Twelfth Peregrine Breather Solutions to the NLS Equation [PDF]
Advances in Research, 2016 The twelfth Peregrine breather (P12 breather) solution to the focusing one dimensional nonlinear Schrodinger equation (NLS) with its twenty two real parameters deformations solutions to the NLS equation are explicitly constructed here. New families of quasi-rational solutions of the NLS equation in terms of explicit quotients of polynomials of degree ...
Gaillard, Pierre, Gastineau, Mickaël
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Experimental and numerical study on freak wave using the Peregrine breather
Physics Letters, Section A: General, Atomic and Solid State PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuxiang Ma, Bo Liao
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Self-similarity of rogue wave generation in gyrotrons: Beyond the Peregrine breather
Chaos, Solitons and FractalsWithin the framework of numerical simulations, we study the gyrotron dynamics under conditions of a significant excess of the operating current over the starting value, when the generation of electromagnetic pulses with anomalously large amplitudes (``rogue waves'') can be realized.
A S Sergeev +2 more
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Experiments on wind-perturbed rogue wave hydrodynamics using the Peregrine breather model [PDF]
, 2013 Being considered as a prototype for description of oceanic rogue waves (RWs), the Peregrine breather solution of the nonlinear Schr\"odinger equation (NLS) has been recently observed and intensely investigated experimentally in particular within the ...
Branger, Hubert +4 more
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Phase evolution of Peregrine-like breathers in optics and hydrodynamics [PDF]
Physical Review E, 2019 We present a detailed study of the phase properties of rational breather waves observed in the hydrodynamic and optical domains, namely the Peregrine soliton and related second-order solution. At the point of maximum compression, our experimental results recorded in a wave tank or using an optical fiber platform reveal a characteristic phase shift that
Xu, Gang +5 more
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