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Numerical study of nonlinear Peregrine breather under finite water depth
Ocean Engineering, 2015Abstract Though the focusing method can effectively generate waves which satisfy the definition of rogue waves at a specific position and moment, however, being inherently not nonlinear, the focusing model is still a controversial rogue wave generation method.
Zhe Hu +3 more
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Numerical Study on the Evolution of Peregrine Breathers in Variable Depth
The Peregrine breather (PB) solution of the nonlinear Schrödinger equation (NLSE) is an important theoretical model for rogue waves in deep water. This study uses computational fluid dynamics (CFD) simulations to investigate the propagation stability and evolution of PB waves over variable water depths.Aimin Wang +4 more
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Ten-parameter deformations of the sixth-order Peregrine breather solutions of the NLS equation
Physica Scripta, 2013In this paper, we construct new deformations of the Peregrine breather of order 6 with ten real parameters. We obtain new families of quasi-rational solutions of the one-dimensional focusing nonlinear Schrodinger (NLS) equation. With this method, we construct new patterns of different types of rogue waves.
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Communications in Theoretical Physics, 2014
Summary: We construct here explicitly new deformations of the Peregrine breather of order 5 with 8 real parameters. This gives new families of quasi-rational solutions of the NLS equation and thus one can describe in a more precise way the phenomena of appearance of multi rogue waves.
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Summary: We construct here explicitly new deformations of the Peregrine breather of order 5 with 8 real parameters. This gives new families of quasi-rational solutions of the NLS equation and thus one can describe in a more precise way the phenomena of appearance of multi rogue waves.
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Physical Review E, 2013
We present a new representation of solutions of the one-dimensional nonlinear focusing Schrödinger equation (NLS) as a quotient of two determinants. This formulation gives in the case of the order 3, new solutions with four parameters. This gives a very efficient procedure to construct families of quasirational solutions of the NLS equation and to ...
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We present a new representation of solutions of the one-dimensional nonlinear focusing Schrödinger equation (NLS) as a quotient of two determinants. This formulation gives in the case of the order 3, new solutions with four parameters. This gives a very efficient procedure to construct families of quasirational solutions of the NLS equation and to ...
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Eighth Peregrine breather solution of the NLS equation and multi-rogue waves
2012This is a continuation of a paper in which we present a new representation of solutions of the focusing NLS equation as a quotient of two determinants. This work was based on a recent paper in which we had constructed a multi-parametric family of this equation in terms of wronskians. \\ Here we give a more compact formulation without limit.
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Experimental generation and investigation of Peregrine breather waves in deep water
Ships and Offshore Structures, 2023Haoran Zhang, Fangyi Wei, Wenyong Tang
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Peregrine Soliton and Breathers in Wave Physics: Achievements and Perspectives
2022openaire +1 more source
Effect of Vorticity on Peregrine Breather for Interfacial Waves of Finite Amplitude
2021Shibam Manna, Asoke Kumar Dhar
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Electron Acoustic Peregrine Breathers in a Quantum Plasma With 1-D Temperature Anisotropy
IEEE Transactions on Plasma Science, 2022Payel Ghosh +2 more
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