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The Liouville correspondence between the Korteweg—de Vries and the Camassa-Holm hierarchies

✍ Scribed by Henry P. McKean


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
218 KB
Volume
56
Category
Article
ISSN
0010-3640

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Acoustic Scattering and the Extended Kor
✍ R. Beals; D.H. Sattinger; J. Szmigielski 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 266 KB

The acoustic scattering operator on the real line is mapped to a Schro dinger operator under the Liouville transformation. The potentials in the image are characterized precisely in terms of their scattering data, and the inverse transformation is obtained as a simple, linear quadrature. An existenc