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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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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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Deformations of higher order Peregrine breathers and monstrous polynomials.
2013In the following, we present two new results about the focusing one dimensional NLS equation : 1. We construct solutions of NLS equation in terms of wronskians. Then performing a special passage to the limit when a parameter tends to 0, we obtain quasi-rational solutions of NLS equation. 2. We construct quasi-rational solutions in terms of determinants
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Effect of Vorticity on Peregrine Breather for Interfacial Waves of Finite Amplitude
NODYCON conference proceedings series, 2022Asoke Kumar Dhar
exaly
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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