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Drum Dispersion Equation for Littrow-Type Prism Spectrometers

โœ Scribed by Sidran, Miriam ;Stalzer, Henry J. ;Hauptman, Marvin H.

Book ID
115318752
Publisher
The Optical Society
Year
1966
Tongue
English
Weight
695 KB
Volume
5
Category
Article
ISSN
1559-128X

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Dispersive Smoothing Effects for KdV Typ
Dispersive Smoothing Effects for KdV Type Equations
โœ Hongsheng Cai ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 424 KB

In this paper we study the smoothness properties of solutions of some nonlinear equations of Korteweg de Vries (KdV) type, which are of the form where x # R, u j = j x u, and k and j are nonnegative integers. Our principal condition is that a(x, t) be positive and bounded, so that the dispersion is