A new fourth-order Fourier-Bessel split-step method for the extended nonlinear Schrödinger equation

DOI10.1016/J.JCP.2007.10.012zbMath1134.65074OpenAlexW2067305945MaRDI QIDQ2476871

Patrick L. Nash

Publication date: 12 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.10.012

zbMATH Keywords

stabilitynumerical examplesnonlinear Schrödinger equationfinite differencesplit-step methodassociated Bessel functionsFourier-Bessel algorithmnormal mode condensationshort laser pulsessoliton-like numerical solutions

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Uses Software

• FFTW

Cites Work

• Unnamed Item
• Solution of the Schrödinger equation by a spectral method
• Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation
• Self-guiding of femtosecond light pulses in condensed media: plasma generation versus chromatic dispersion
• Ground States and Dynamics of Multicomponent Bose--Einstein Condensates
• Associated Bessel functions and the discrete approximation of the free-particle time evolution operator in cylindrical coordinates
• Self-Focusing in the Perturbed and Unperturbed Nonlinear Schrödinger Equation in Critical Dimension
• Dynamics of Rotating Bose--Einstein Condensates and its Efficient and Accurate Numerical Computation

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