Six-parameters deformations of fourth order Peregrine breather solutions of the nonlinear Schrödinger equation

DOI10.1063/1.4816129zbMath1290.35239OpenAlexW2082413674MaRDI QIDQ5407619

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Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4816129

zbMATH Keywords

nonlinear Schrödinger equationPeregrine breather solution

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (3)

The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation ⋮ Toward a classification of quasirational solutions of the nonlinear Schrödinger equation ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Exact first-order solutions of the nonlinear Schrödinger equation
• 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
• Degenerate determinant representation of solutions of the nonlinear Schrödinger equation, higher order Peregrine breathers and multi-rogue waves
• Multi-rogue waves solutions: from the NLS to the KP-I equation

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