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Lamé Potentials and the Stationary (m)KdV Hierarchy

✍ Scribed by F. Gesztesy; R. Weikard

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
827 KB
Volume
176
Category
Article
ISSN
0025-584X

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✦ Synopsis

A new method of constructing elliptic finite-gap solutions of the stationary Kortewegde Vries (KdV) hierarchy, based on a theorem due to PICARD, is illustrated in the concrete case of the Lame-Ince potentials -s(s + 1) 9 ( z ) , s E N (P( .) the elliptic Weierstrass function). Analogous results are derived in the context of the stationary modified Korteweg-de Vries (mKdV) hierarchy for the first time.

📜 SIMILAR VOLUMES

Rapidly Decreasing Solutions of the KdV
Rapidly Decreasing Solutions of the KdV Hierarchy
✍ Xueshang Feng 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 426 KB

## Abstract In this paper, by considering the Cauchy Problem for the KdV hierarchy in certain weighted Sobolev spaces, the existence of rapidly decreasing solutions is established.