Two parameters deformations of ninth Peregrine breather solution of the NLS equation and multi-rogue waves

DOI10.1155/2013/520214zbMath1486.35369OpenAlexW2061330548WikidataQ59015511 ScholiaQ59015511MaRDI QIDQ2337045

Yanyan Li

Publication date: 19 November 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/520214

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (1)

The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation

Cites Work

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• Extreme waves that appear from nowhere: on the nature of rogue waves
• Exact first-order solutions of the nonlinear Schrödinger equation
• Exact integration of nonlinear Schrödinger equation
• Water waves, nonlinear Schrödinger equations and their solutions
• Families of quasi-rational solutions of the NLS equation and multi-rogue waves
• Rogue waves, rational solutions, the patterns of their zeros and integral relations
• General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation

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