Data analysis and reduction using stationary solutions of the NLS equation

DOI10.1080/00036810903569481zbMath1191.81110OpenAlexW2060847477MaRDI QIDQ3558512

David O. Lovit, Bernard Deconinck

Publication date: 5 May 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810903569481

zbMATH Keywords

nonlinear Schrödinger equationdata analysismodal reductioncomplete basis

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (1)

A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution

Cites Work

• Computing spectra of linear operators using the Floquet-Fourier-Hill method
• Stability of small periodic waves for the nonlinear Schrödinger equation
• Orbital stability of periodic waves for the nonlinear Schrödinger equation
• Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation
• Spectral theory of two-dimensional periodic operators and its applications
• Modulational instability and non-Gaussian statistics in experimental random water-wave trains
• Deterministic Nonperiodic Flow
• Progressive waves with persistent two-dimensional surface patterns in deep water
• Stabilizing the Benjamin–Feir instability
• Unnamed Item

This page was built for publication: Data analysis and reduction using stationary solutions of the NLS equation