Numerical simulation of nonlinear dispersive quantization

DOI10.3934/DCDS.2014.34.991zbMath1358.35152OpenAlexW2111563694MaRDI QIDQ379776

Peter J. Olver, Gong Chen

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.991

zbMATH Keywords

dispersionnonlinear Schrödinger equationKorteweg-de Vries equationfractaloperator splitting schemequantizedTalbot effect

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50)

Related Items (9)

On the relationship between the one-corner problem and the \(M\)-corner problem for the vortex filament equation ⋮ Static and dynamical, fractional uncertainty principles ⋮ Talbot effect on the sphere and torus for \(d \geq 2\) ⋮ Computation of large-genus solutions of the Korteweg-de Vries equation ⋮ Geometric numerical integration. Abstracts from the workshop held March 28 -- April 3, 2021 (hybrid meeting) ⋮ Fractal solutions of dispersive partial differential equations on the torus ⋮ The Talbot effect as the fundamental solution to the free Schrödinger equation ⋮ Fractal solutions of linear and nonlinear dispersive partial differential equations ⋮ Dispersive quantization and fractalization for multi-component dispersive equations

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