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

DOI10.1016/j.physleta.2015.03.011zbMath1345.35100OpenAlexW2073934651MaRDI QIDQ315950

Mickaël Gastineau, Pierre Gaillard

Publication date: 26 September 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2015.03.011

zbMATH Keywords

NLS equationPeregrine breatherrogue waves

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (2)

NLS breathers, rogue waves, and solutions of the Lyapunov equation for Jordan blocks ⋮ Toward a classification of quasirational solutions of the nonlinear Schrödinger equation

Uses Software

• TRIP

Cites Work

• Extreme waves that appear from nowhere: on the nature of rogue waves
• Exact first-order solutions of the nonlinear Schrödinger equation
• Two parameters deformations of ninth Peregrine breather solution of the NLS equation and multi-rogue waves
• Two parameters wronskian representation of solutions of nonlinear Schrödinger equation, eighth Peregrine breather and multi-rogue waves
• 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
• Degenerate determinant representation of solutions of the nonlinear Schrödinger equation, higher order Peregrine breathers and multi-rogue waves
• Six-parameters deformations of fourth order Peregrine breather solutions of the nonlinear Schrödinger equation
• The Fifth Order Peregrine Breather and Its Eight-Parameter Deformations Solutions of the NLS Equation
• Unnamed Item

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