Two parameters wronskian representation of solutions of nonlinear Schrödinger equation, eighth Peregrine breather and multi-rogue waves

DOI10.1063/1.4895020zbMath1366.35166OpenAlexW2084298737MaRDI QIDQ2924910

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Publication date: 20 October 2014

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

Full work available at URL: https://doi.org/10.1063/1.4895020

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

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Cites Work

• Rogue waves in the ocean
• 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
• Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I
• 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