A Bäcklund transformation for a generalised Calogero-Moser system
✍ Scribed by John Gibbons; Theo Hermsen; Stefan Wojciechowski
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 169 KB
- Volume
- 94
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
A B€ a acklund transformation both in bilinear and in ordinary form for the transformed generalised Vakhnenko equation (GVE) is derived. It is shown that the equation has an infinite sequence of conservation laws. An inverse scattering problem is formulated; it has a third-order eigenvalue problem.
We present a geometric construction of Bäcklund transformations and discretizations for a large class of algebraic completely integrable systems. To be more precise, we construct families of Bäcklund transformations, which are naturally parameterized by the points on the spectral curve(s) of the sys