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Inverse Scattering Transform for the Toda Hierarchy

โœ Scribed by Gerald Teschl

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
373 KB
Volume
202
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

Abstract

We provide a rigorous treatment of the inverse scattering transform for the entire Toda hierarchy. In addition, we revisit the connection between trace formulas and conserved quantities from the viewpoint of Krein's spectral shift theory.

๐Ÿ“œ SIMILAR VOLUMES

Inverse Scattering Transform for Soliton
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โœ Stephen Desbruslais ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 578 KB

In soliton system design studies, many important properties pertaining to the propagation of optical pulses in a transmission fiber can be investigated using the results of inverse scattering theory. Although the theory is well established, it is highly intricate and its application is therefore res