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Fourier–Bessel-type series: The fourth-order case

✍ Scribed by W.N. Everitt; C. Markett

Book ID
108159050
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
201 KB
Volume
160
Category
Article
ISSN
0021-9045

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## Abstract This paper discusses the spectral properties of the self‐adjoint differential operator generated by the fourth‐order Bessel‐type differential expression, as defined by Everitt and Markett in 1994, in a Lebesgue–Stieltjes Hilbert function space. This space involves functions defined on t

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Fourier split-step techniques are often used to compute soliton-like numerical solutions of the nonlinear Schro ¨dinger equation. Here, a new fourth-order implementation of the Fourier split-step algorithm is described for problems possessing azimuthal symmetry in 3 + 1-dimensions. This implementati