On the degenerate soliton solutions of the focusing nonlinear Schrödinger equation

DOI10.1063/1.4977984zbMath1365.35159OpenAlexW2603690114MaRDI QIDQ2974661

Gino Biondini, Cornelia Schiebold, Sitai Li

Publication date: 10 April 2017

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

Full work available at URL: https://semanticscholar.org/paper/21df10b4862bbe19b70638855c94141aaa46b7c9

zbMATH Keywords

asymptotic formulasoliton theorycenter of mass of solutions

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Traveling wave solutions (35C07) Soliton solutions (35C08)

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Cites Work

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• Soliton solutions of the Kadomtsev-Petviashvili II equation
• Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrodinger Equation (AM-154)
• General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations
• Asymptotics for the multiple pole solutions of the nonlinear Schrödinger equation
• Exact solutions to the focusing nonlinear Schrödinger equation

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